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        <title><![CDATA[一小时看懂财务报表]]></title>
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		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%BB%E1%BC%C6%D6%AA%CA%B6">会计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/3a06a20658f1a97e0208811d.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-10  22:19</pubDate>
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        <title><![CDATA[时间序列预测法在工业生产总值预测的应用]]></title>
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		<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><strong style="mso-bidi-font-weight: normal"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一、相关背景</span></strong><strong style="mso-bidi-font-weight: normal"><span style="mso-bidi-font-size: 10.5pt"></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><a name="10"><span style=" mso-bidi-font-size: 9.0pt">工业总产值</span></a><span style=" mso-bidi-font-size: 9.0pt">是指以货币表现的工业企业 在一定时期内生产的已出售或可供出售的工业产品，总量。它是反映一定时间内工业生产总规 模和，总水平的重要指标，是计算工业生产发展 速度和主要比例关系，计算工业产品销售率和 其他经济指标的重要依据。工业总产值包括成品价值、工业性作业价值和自制半成品、在产品 期末期初差额价值。 工业，总产值采用<span>&ldquo;</span>工厂法<span>&rdquo;</span>计算，即以工业 企业作为一个整体，按企业工业生产活动的最终成果来计算。但各企业之间、行业之间、地区 之间存在着重复计算。其计算公式为：报告期工业总产值<span>=</span>报告期全部产品的成品价值<span>+</span>报告期工业性作业价值<span>+</span>（报告期自制半成品和在产品期末余额<span>- </span>报告期自制半成品和在产品期初 余额）计算工业总产值采用的价格有不变价格和现行价格。<span></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><strong style="mso-bidi-font-weight: normal"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">二、数据说明</span></strong><strong style="mso-bidi-font-weight: normal"><span style="mso-bidi-font-size: 10.5pt"></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">某市</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1995</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">&mdash;</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2004</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年各月的工业生产总值见表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，其数据记为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。我们对</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1995</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">&mdash;</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2003</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年数据建模，</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2004</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年的数据留做检验模型的预测效果。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">某市</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1995-2004</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年各月的工业生产总值</span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">单位：万元</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style="color: red; mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的数据见图</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，由图</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">可以看出数据具有明显的周期性，做一次季节差分，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，差分后的结果如图</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">所示，由此我们可以看出数据趋于平稳，平稳化后得到的序列记为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，共有</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">96</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">个数据。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="z-index: 1; left: 0pt; position: absolute; mso-ignore: vglayout">
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            <div class="shape" style="padding-right: 7.95pt; padding-left: 7.95pt; padding-bottom: 4.35pt; padding-top: 4.35pt">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="font-size: 9pt;  mso-bidi-font-size: 12.0pt; mso-ascii- mso-hansi-">图</span><span style="font-size: 9pt; mso-bidi-font-size: 12.0pt"><font face="Times New Roman">1<span style="mso-spacerun: yes">  </span></font></span><span style="font-size: 9pt;  mso-bidi-font-size: 12.0pt; mso-ascii- mso-hansi-">某市</span><span style="font-size: 9pt; mso-bidi-font-size: 12.0pt"><font face="Times New Roman">1995-2004</font></span><span style="font-size: 9pt;  mso-bidi-font-size: 12.0pt; mso-ascii- mso-hansi-">年各月的工业生产总值</span><span style="font-size: 9pt; mso-bidi-font-size: 12.0pt"></span></p>
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<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">图</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2<span style="mso-spacerun: yes">  </span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">季节差分后的工业生产总值</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">我们求得时间序列</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的均值</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">＝</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">．</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">509</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，对其零均值化</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">(</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">即</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">－</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">得到的时间序列仍记为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。对于新的时间序列计算其自相关函数和偏自相关函数，具体结果见表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。从表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">中可以看出，当</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">k&gt;2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">时，有</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 14pt; mso-text-raise: -14.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，并且</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">呈现拖尾现象，故可以初步判定此时间序列</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">适合</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(2)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">模型。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">自相关函数和偏自相关函数</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">我们对</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">{</font><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">}</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">再拟合</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(p)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，发现也可以考虑</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(3)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，我们对模型</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(2)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">和</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(3)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">进行建模，具体结果见表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3</font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">建模输出结果</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">从表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">中可以看出，关于模型</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(3)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，发现参数</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">＝</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0.04</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">t</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验值仅为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0.39</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，考虑</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">F</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验值为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2.77</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，于是我们认为</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(3) </font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">与</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(2)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">没有显著性差异，故选取</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(2)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">模型，即：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">我们利用上述模型对</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2004</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年的工业生产总值做一预测，以</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2003</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">12</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">月份为原点向前做</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">～</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">12</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">期的预测，首先由模型</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">进行预测，然后再转化到平稳化前最初的数据结果，详见表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">4</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，并见预测图</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。由此我们看到，除了</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2004</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">年</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">月的预测误差较大之外，其余的预测相对误差均在</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">5</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">％内，可以说</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">AR(2)</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">模型的预测效果较好。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 27pt; mso-char-indent-count: 2.57"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">表</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">4<span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">预测结果</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"></span></p>
<span style="font-size: 10.5pt;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">图</span><span style="font-size: 10.5pt;  mso-fareast- mso-font-kerning: 1.0pt; mso-ansi- mso-fareast- mso-bidi-">3 </span><span style="font-size: 10.5pt;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">预测图</span> <a href="http://hi.baidu.com/ahei3791/blog/item/24681c160598311d972b43b4.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%CD%B3%BC%C6%D6%AA%CA%B6">统计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/24681c160598311d972b43b4.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-07  17:38</pubDate>
        <category><![CDATA[统计知识]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/24681c160598311d972b43b4.html</guid>
</item>

<item>
        <title><![CDATA[第五章 时间序列平滑预测法]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/c73bfffa5c313c1ba8d311ab.html]]></link>
        <description><![CDATA[
		
		<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><strong style="mso-bidi-font-weight: normal"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">基本内容</span></strong><strong style="mso-bidi-font-weight: normal"><span style="mso-bidi-font-size: 10.5pt"></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-list: l0 level1 lfo1; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">一、</font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一次移动平均法和一次指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 23.25pt; text-indent: -23.25pt; mso-list: l2 level1 lfo2; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">(一)<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一次移动平均法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 29.25pt; text-indent: -18pt; mso-list: l4 level1 lfo3; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">1、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一次移动平均方法是收集一组观察值，计算这组观察值的均值，利用这一均值作为下一期的预测值。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 29.25pt; text-indent: -18pt; mso-list: l4 level1 lfo3; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">2、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">移动平均法有两种极端情况：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 42.75pt; text-indent: -21pt; mso-list: l3 level1 lfo4; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">①<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">在移动平均值的计算中包括的过去观察值的实际个数</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N=1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，这时利用最新的观察值作为下一期的预测值；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 42.75pt; text-indent: -21pt; mso-list: l3 level1 lfo4; "><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore">②<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></span></span><span style="mso-bidi-font-size: 10.5pt">N=n</span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，这时利用全部</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">n</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">个观察值的算术平均值作为预测值；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21.75pt; text-indent: 21pt; mso-char-indent-count: 2.0; mso-para-margin-left: 2.07gd"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">当数据的随机因素较大时，宜选用较大的</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，这样有利于较大限度地平滑由随机性所带来的严重偏差；反之，当数据的随机因素较小时，宜选用较小的</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，这有利于跟踪数据的变化，并且预测值滞后的期数也少。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 29.25pt; text-indent: -18pt; mso-list: l4 level1 lfo3; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">3、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">由移动平均法计算公式可以看出，每一新预测值是对前一移动平均预测值的修正，</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">越大平滑效果愈好。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 29.25pt; text-indent: -18pt; mso-list: l4 level1 lfo3; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">4、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">移动平均法的优点：</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">计算量少；</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">移动平均线能较好地反映时间序列的趋势及其变化。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 29.25pt; text-indent: -18pt; mso-list: l4 level1 lfo3; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">5、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">移动平均法的两个主要限制：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 32.25pt; text-indent: -10.5pt; mso-char-indent-count: -1.0; mso-para-margin-left: 2.07gd"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">计算移动平均必须具有</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">个过去观察值，当需要预测大量的数值时，就必须存储大量数据；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 32.25pt; text-indent: -10.5pt; mso-char-indent-count: -1.0; mso-para-margin-left: 2.07gd"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">N</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">个过去观察值中每一个权数都相等，而早于（</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">t-N+1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">）期的观察值的权数等于</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，而实际上往往是最新观察值包含更多信息，应具有更大权重。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">（二）、一次指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 157.5pt; text-indent: -157.5pt; mso-char-indent-count: -15.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"><span style="mso-spacerun: yes">&nbsp;&nbsp;  </span>1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、一次指数平滑法是利用前一期的预测值</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">代替</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">得到预测的通式，即</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 157.5pt; text-indent: -157.5pt; mso-char-indent-count: -15.0"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">这是一种加权预测，权数为α。它既不需要存储全部历史数据，也不需要存储一组数据，</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">从而可以大大减少数据存储问题，甚至有时只需一个最新观察值、最新预测值和α值，就可以进行预测。它提供的预测值是前一期预测值加上前期预测值中产生的误差的修正值。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、一次指数平滑法的初值的确定有几种方法：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">取第一期的实际值为初值；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">取最初几期的平均值为初值；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、一次指数平滑法比较简单，但也有问题。问题之一便是力图找到最佳的α值，以使均方差最小，这需要通过反复试验确定。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-list: l0 level1 lfo1; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">二、</font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">线性二次移动平均法和线性二次指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 42pt; text-indent: -36pt; mso-list: l1 level1 lfo5; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（一）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">线性二次移动平均法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 27pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">基本原理：为了避免利用移动平均法预测有趋势的数据时产生系统误差，发展了线性二次移动平均法。这种方法的基础是计算二次移动平均，即在对实际值进行一次移动平均的基础上，再进行一次移动平均。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 42pt; text-indent: -36pt; mso-list: l1 level1 lfo5; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（二）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">线性二次指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 6pt; text-indent: 21.75pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一次移动平均法的两个限制因素在线性二次移动平均法中也才存在，线性二次指数平滑法只利用三个数据和一个α值就可进行计算。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 45pt; text-indent: -18pt; mso-list: l1 level2 lfo5; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">1、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">布朗单一参数线性指数平滑法，其基本原理与线性二次移动平均法相似。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 45pt; text-indent: -18pt; mso-list: l1 level2 lfo5; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">2、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">霍尔特双参数线性指数平滑法，其基本原理与布朗线性指数平滑法相似，只是它不用二次指数平滑，而是趋势直线进行平滑。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-list: l0 level1 lfo1; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">三、</font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">布朗二次多项式（三次）指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">基本原理：当数据的基本模型具有二次、三次或高次幂时，则需要用高次平滑形式。从线性平滑过渡到二次多项式平滑，基本途径是再进行一次平滑（即三次平滑），并对二次多项式的参数作出估计。类似，也可以由二次多项式平滑过渡为三次或高次多项式平滑。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-list: l0 level1 lfo1; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">四、</font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">温特线性和季节性指数平滑法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">如果数据的变化含有季节性的因素，则应使用把季节性因素考虑在内的温特线性和季节性指数平滑法。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<span style="font-size: 10.5pt;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">使用此方法时一个重要问题是如何确定α、β和γ的值，以使均方差达到最小。通常确定α、β和γ的最佳方法是反复试验法。</span> <a href="http://hi.baidu.com/ahei3791/blog/item/c73bfffa5c313c1ba8d311ab.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%CD%B3%BC%C6%D6%AA%CA%B6">统计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/c73bfffa5c313c1ba8d311ab.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-07  17:36</pubDate>
        <category><![CDATA[统计知识]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/c73bfffa5c313c1ba8d311ab.html</guid>
</item>

<item>
        <title><![CDATA[第四章 时间序列的分解法和趋势外推法]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/ce00b7ecfa5eacd42f2e21aa.html]]></link>
        <description><![CDATA[
		
		<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><strong style="mso-bidi-font-weight: normal"><span style=" mso-ascii- mso-hansi-">基本内容</span><span></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">一、时间序列的分解</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">经济时间序列的变化受到长期趋势、季节变动和不规则变动这四个因素的影响。其中：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">1</font></span><span style=" mso-ascii- mso-hansi-">）</span><font face="Times New Roman"> </font><span style=" mso-ascii- mso-hansi-">长期趋势因素（</span><span><font face="Times New Roman">T</font></span><span style=" mso-ascii- mso-hansi-">）</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">长期趋势因素（</span><span><font face="Times New Roman">T</font></span><span style=" mso-ascii- mso-hansi-">）反映了经济现象在一个较长时间内的发展方向，它可以在一个相当长的时间内表现为一种近似直线的持续向上或持续向下或平稳的趋势。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">2</font></span><span style=" mso-ascii- mso-hansi-">）</span><font face="Times New Roman"> </font><span style=" mso-ascii- mso-hansi-">季节变动因素（</span><span><font face="Times New Roman">S</font></span><span style=" mso-ascii- mso-hansi-">）</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">季节变动因素（</span><span><font face="Times New Roman">S</font></span><span style=" mso-ascii- mso-hansi-">）是经济现象受季节变动影响所形成的一种长度和幅度固定的周期波动。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">3</font></span><span style=" mso-ascii- mso-hansi-">）</span><font face="Times New Roman"> </font><span style=" mso-ascii- mso-hansi-">周期变动因素（</span><span><font face="Times New Roman">C</font></span><span style=" mso-ascii- mso-hansi-">）</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">周期变动因素也称循环变动因素，它是受各种经济因素影响形成的上下起伏不定的波动。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">4</font></span><span style=" mso-ascii- mso-hansi-">）</span><font face="Times New Roman"> </font><span style=" mso-ascii- mso-hansi-">不规则变动因素（</span><span><font face="Times New Roman">I</font></span><span style=" mso-ascii- mso-hansi-">）</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">不规则变动又称随机变动，它是受各种偶然因素影响所形成的不规则变动。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">二、时间序列分解模型</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">时间序列</span><span><font face="Times New Roman">Y</font></span><span style=" mso-ascii- mso-hansi-">可以表示为以上四个因素的函数，即：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">时间序列分解的方法有很多，较常用的模型有加法模型和乘法模型。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">加法模型为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">乘法模型为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">乘法模型分解的基本步骤是：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">1</font></span><span style=" mso-ascii- mso-hansi-">）运用移动平均法剔除长期趋势和周期变化，得到序列</span><span><font face="Times New Roman">TC</font></span><span style=" mso-ascii- mso-hansi-">。然后再用按月（季）平均法求出季节指数</span><span><font face="Times New Roman">S</font></span><span style=" mso-ascii- mso-hansi-">。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">2</font></span><span style=" mso-ascii- mso-hansi-">）作散点图，选择适合的曲线模型拟合序列的长期趋势，得到长期趋势</span><span><font face="Times New Roman">T</font></span><span style=" mso-ascii- mso-hansi-">。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">3</font></span><span style=" mso-ascii- mso-hansi-">）计算周期因素</span><span><font face="Times New Roman">C</font></span><span style=" mso-ascii- mso-hansi-">。用序列</span><span><font face="Times New Roman">TC</font></span><span style=" mso-ascii- mso-hansi-">除以</span><span><font face="Times New Roman">T</font></span><span style=" mso-ascii- mso-hansi-">即可得到周期变动因素</span><span><font face="Times New Roman">C</font></span><span style=" mso-ascii- mso-hansi-">。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">（</span><span><font face="Times New Roman">4</font></span><span style=" mso-ascii- mso-hansi-">）将时间序列的</span><span><font face="Times New Roman">T</font></span><span style=" mso-ascii- mso-hansi-">、</span><span><font face="Times New Roman">S</font></span><span style=" mso-ascii- mso-hansi-">、</span><span><font face="Times New Roman">C</font></span><span style=" mso-ascii- mso-hansi-">分解出来后，剩余的即为不规则变动，即：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </font></span><span style="color: #3366ff"><span style="position: relative; top: 12pt; mso-text-raise: -12.0pt"></span></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">三、趋势外推法</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">当预测对象以时间变化呈现某种上升或下降趋势，没有明显的季节波动，且能找到一个合适的函数曲线反映这种变化趋势时，就可以用趋势外推法进行预测。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">应用趋势外推法有两个假设条件：（</span><span><font face="Times New Roman">1</font></span><span style=" mso-ascii- mso-hansi-">）假设事物发展过程没有跳跃式变化；（</span><span><font face="Times New Roman">2</font></span><span style=" mso-ascii- mso-hansi-">）假定事物的发展因素也决定事物未来的发展，其条件是不变或变化不大。选择合适的趋势模型是应用趋势法的重要环节，图形识别和差分法是选择趋势模型的两种基本方法。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 36pt; text-indent: -36pt; mso-list: l0 level1 lfo1; "><span style="mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（1）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-ascii- mso-hansi-">多项式曲线外推法模型的一般性形式为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">当</span><span><font face="Times New Roman">k=1</font></span><span style=" mso-ascii- mso-hansi-">时，为直线模型；</span><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">当</span><span><font face="Times New Roman">k=2</font></span><span style=" mso-ascii- mso-hansi-">时，为二次抛物线模型。</span><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">当</span><span><font face="Times New Roman">k=3</font></span><span style=" mso-ascii- mso-hansi-">时，为三次抛物线模型。</span><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">多项式曲线外推模型的参数一般是根据最小二乘法求得的。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 36pt; text-indent: 21pt; mso-char-indent-count: 2.0; mso-list: l0 level1 lfo1; "><span style="mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（2）<span style="font: 7pt  Times New Roman "> </span></font></span></span><span style=" mso-ascii- mso-hansi-">指数模型</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt"><span style=" mso-ascii- mso-hansi-">一般形式为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">求解指数曲线模型参数方法是现做对数变换，将其化为直线模型，然后用最小二乘法求出模型参数。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">修正的指数曲线预测模型为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">求解方法是：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">时序数据最好是</span><span><font face="Times New Roman">3</font></span><span style=" mso-ascii- mso-hansi-">的倍数。随后按时间先后把数据分为三组：</span><span>Ⅰ、Ⅱ、Ⅲ。<span></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span>则：</span><span><span style="position: relative; top: 60pt; mso-text-raise: -60.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0; mso-list: l0 level1 lfo1; "><span style="mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（3）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-ascii- mso-hansi-">对数曲线模型：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-ascii- mso-hansi-">常见的对数曲线预测模型有：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">求解参数的方法是运用最小二乘法。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0; mso-list: l0 level1 lfo1; "><span style="mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（4）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-ascii- mso-hansi-">很多的经济现象都经历发生、发展到成熟的过程。到成熟期后，很难超过一个极限值而继续保持指数增长的趋势。对于这种现象的预测就因该应用生长曲线趋势外推法。其中，龚珀兹与皮尔曲线是两个最有使用价值的预测模型。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">龚珀兹曲线预测模型的一般形式为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">求解上述模型参数方法是先做对数变换：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">然后通过将时间序列分为三组而求得其参数</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 62pt; mso-text-raise: -62.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">皮尔曲线预测模型的一般形式为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 12pt; mso-text-raise: -12.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">求解参数的方法是先做变量代换，然后应用最小二乘法。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0; mso-list: l0 level1 lfo1; "><span style="mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">（5）<span style="font: 7pt  Times New Roman ">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </span></font></span></span><span style=" mso-ascii- mso-hansi-">趋势模型的选择</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 17.95pt; mso-char-indent-count: 1.71"><span><font face="Times New Roman">1</font></span><span style=" mso-ascii- mso-hansi-">）图形识别法</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">这种方法是通过绘制散点图来进行的，即将时间序列的数据绘制成以时间</span><span><font face="Times New Roman">t</font></span><span style=" mso-ascii- mso-hansi-">为横轴，时序观察值为纵轴的图形，观察并将其变化曲线与各类模型的图形进行比较，以便选择较为合适的模型。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 17.95pt; mso-char-indent-count: 1.71"><span><font face="Times New Roman">2</font></span><span style=" mso-ascii- mso-hansi-">）差分法</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">利用差分法把数据修匀，使非平稳序列达到平稳序列。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">一阶差分可以表示为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">二阶差分可以表示为：</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; text-align: center; mso-char-indent-count: 2.0" align="center"><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">紧紧依靠图形法等直观方法来选择趋势曲线模型并不总能取得较好的拟合优度。为了找出最优的拟合曲线，一般使用不同的曲线模型拟合，并比较它们的拟合标准差，标准误差最小的曲线模型为最好的拟合曲线模型。这一过程可以通过计算机很方便完成。</span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-ascii- mso-hansi-">差分法识别标准：</span></p>
<table class="MsoTableGrid" style="border-right: medium none; border-top: medium none; border-left: medium none; width: 100%; border-bottom: medium none; border-collapse: collapse; mso-border-alt: solid windowtext .5pt; mso-yfti-tbllook: 480; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt; mso-border-insideh: .5pt solid windowtext; mso-border-insidev: .5pt solid windowtext" cellspacing="0" cellpadding="0" width="100%" border="1">
    <tbody>
        <tr style="mso-yfti-irow: 0; mso-yfti-firstrow: yes">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: windowtext 1pt solid; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">差分特性</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: windowtext 1pt solid; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">使用模型</span></p>
            </td>
        </tr>
        <tr style="mso-yfti-irow: 1">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">一阶差分相等或大致相等</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">一次线性模型</span></p>
            </td>
        </tr>
        <tr style="mso-yfti-irow: 2">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">二阶差分相等或大致相等</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">二次线性模型</span></p>
            </td>
        </tr>
        <tr style="mso-yfti-irow: 3">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">三阶差分相等或大致相等</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">三次线性模型</span></p>
            </td>
        </tr>
        <tr style="mso-yfti-irow: 4">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">一阶差分比率相等或大致相等</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">指数曲线模型</span></p>
            </td>
        </tr>
        <tr style="mso-yfti-irow: 5; mso-yfti-lastrow: yes">
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: windowtext 1pt solid; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">一阶差分的一阶比率相等或大致相等</span></p>
            </td>
            <td style="border-right: windowtext 1pt solid; padding-right: 5.4pt; border-top: #ece9d8; padding-left: 5.4pt; padding-bottom: 0cm; border-left: #ece9d8; width: 50%; padding-top: 0cm; border-bottom: windowtext 1pt solid; background-color: transparent; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt" width="50%">
            <p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><span style=" mso-ascii- mso-hansi-">修正指数曲线模型</span></p>
            </td>
        </tr>
    </tbody>
</table> <a href="http://hi.baidu.com/ahei3791/blog/item/ce00b7ecfa5eacd42f2e21aa.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%CD%B3%BC%C6%D6%AA%CA%B6">统计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/ce00b7ecfa5eacd42f2e21aa.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-07  17:34</pubDate>
        <category><![CDATA[统计知识]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/ce00b7ecfa5eacd42f2e21aa.html</guid>
</item>

<item>
        <title><![CDATA[统计预测与决策 第三章 回归预测法二]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/78fad7d5a8fe44c151da4bc0.html]]></link>
        <description><![CDATA[
		
		<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">二、多元线性回归预测法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">社会经济现象的变化往往受到多个因素的影响，因此，一般要进行多元回归分析，我们把包括两个或两个以上自变量的回归成为多元回归。多元回归与医院回归类似，可以用最小二乘法估计模型参数。也需对模型及模型参数进行统计检验。选择合适的自变量是正确进行多元回归预测的前提之一，多元回归模型自变量的选择可以利用变量之间的相关矩阵来解决。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 39pt; text-indent: -18pt; mso-list: l0 level2 lfo2; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">1、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">建立模型&mdash;以二元线性回归模型为例</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">二元线性回归模型：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。类似使用最小二乘法进行参数估计。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 39pt; text-indent: -18pt; mso-list: l0 level2 lfo2; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">2、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">拟合优度指标</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 147pt; text-indent: -126pt; mso-char-indent-count: -12.0; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">标准误差：对</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">y</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">值与模型估计值之间的离差的一种度量。其计算公式为：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 13pt; mso-text-raise: -13.0pt"><font face="Times New Roman"> </font></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; mso-para-margin-left: 2.0gd"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">可决系数：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 17pt; mso-text-raise: -17.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">意味着回归模型没有对</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的变差做出任何解释；而</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 2pt; mso-text-raise: -2.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">意味着回归模型对</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的全部变差做出解释。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 39pt; text-indent: -18pt; mso-list: l0 level2 lfo2; "><span style="mso-bidi-font-size: 10.5pt; mso-fareast-"><span style="mso-list: Ignore"><font face="Times New Roman">3、<span style="font: 7pt  Times New Roman ">  </span></font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">置信范围</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-char-indent-count: -2.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"><span style="mso-spacerun: yes">  </span><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;</span></font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">置信区间的公式为：置信区间</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">=</font><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，其中</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是自由度为</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">统计量数值表中的数值，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是观察值的个数，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 3pt; mso-text-raise: -3.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是包括因变量在内的变量的个数。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-char-indent-count: -2.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;  </span>4</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、自相关和多重共线性问题</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">自相关检验：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 30pt; mso-text-raise: -30.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，其中</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">多重共线性检验</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">由于各个自变量所提供的是各个不同因素的信息，因此假定各自变量同其他自变量之间是无关的。但是实际上两个自变量之间可能存在相关关系，这种关系会导致建立错误的回归模型以及得出使人误解的结论。为了避免这个问题，有必要对自变量之间的相关与否进行检验。任何两个自变量之间的相关系数为：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 21pt; mso-text-raise: -21.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，经验法则认为相关系数的绝对值小于</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0.75</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，或者</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0.5</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，这两个自变量之间不存在多重共线性问题。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 21pt; mso-char-indent-count: 2.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">三、非线性回归预测法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">在社会现实经济生活中，很多现象之间的关系并不是线性关系，对这种类型现象的分析预测一般要应用非线性回归预测，通过变量代换，可以将很多的非线性回归转化为线性回归。因而，可以用线性回归方法解决非线性回归预测问题。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">选择合适的曲线类型不是一件轻而易举的工作，主要依靠专业知识和经验。常用的曲线类型有幂函数，指数函数，抛物线函数，对数函数和</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">S</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">型函数。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">四、应用回归预测法时应注意的问题</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">应用回归预测法时应首先确定变量之间是否存在相关关系。如果变量之间不存在相关关系，对这些变量应用回归预测法就会得出错误的结果。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">正确应用回归分析预测时应注意：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">用定性分析判断现象之间的依存关系；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">避免回归预测的任意外推；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">③</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">应用合适的数据资料；</span><span style="mso-bidi-font-size: 10.5pt"></span></p> <a href="http://hi.baidu.com/ahei3791/blog/item/78fad7d5a8fe44c151da4bc0.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%CD%B3%BC%C6%D6%AA%CA%B6">统计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/78fad7d5a8fe44c151da4bc0.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-07  09:52</pubDate>
        <category><![CDATA[统计知识]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/78fad7d5a8fe44c151da4bc0.html</guid>
</item>

<item>
        <title><![CDATA[统计预测与决策  第三章 回归预测法]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/2733ea973b63a46855fb96c6.html]]></link>
        <description><![CDATA[
		
		<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-align: center" align="center"><strong style="mso-bidi-font-weight: normal"><span style="font-size: 16pt;  mso-ascii- mso-hansi-">第三章</span></strong><strong style="mso-bidi-font-weight: normal"><span style="font-size: 16pt"><font face="Times New Roman"> </font></span></strong><strong style="mso-bidi-font-weight: normal"><span style="font-size: 16pt;  mso-ascii- mso-hansi-">回归预测法</span></strong><strong style="mso-bidi-font-weight: normal"><span style="font-size: 16pt"></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><strong style="mso-bidi-font-weight: normal"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">基本内容</span></strong><strong style="mso-bidi-font-weight: normal"><span style="mso-bidi-font-size: 10.5pt"></span></strong></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt 21pt; text-indent: -21pt; mso-list: l1 level1 lfo1; "><span style="mso-bidi-font-size: 10.5pt; mso-bidi-"><span style="mso-list: Ignore"><font face="Times New Roman">一、</font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一元线性回归预测法</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是指成对的两个变量数据分布大体上呈直线趋势时，运用合适的参数估计方法，求出一元线性回归模型，然后根据自变量与因变量之间的关系，预测因变量的趋势。由于很多社会经济现象之间都存在相关关系，因此，一元线性回归预测具有很广泛的应用。进行一元线性回归预测时，必须选用合适的统计方法估计模型参数，并对模型及其参数进行统计检验。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"><span style="mso-spacerun: yes">  </span>1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、建立模型</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">一元线性回归模型：</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font><span><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">其中，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是未知参数，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">为剩余残差项或称随机扰动项。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">2</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、用最小二乘法进行参数的估计时，要求</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">满足一定的假设条件：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">是一个随机变量；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的均值为零，即</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">③</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">在每一个时期中，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的方差为常量，即</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">④</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">各个</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">相互独立；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">⑤</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">与自变量无关；</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">3</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、参数估计</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">用最小二乘法进行参数估计，得到的</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">的公式为：</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  </font></span><span style="position: relative; top: 17pt; mso-text-raise: -17.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 63pt; mso-char-indent-count: 6.0"><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"></span></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"><span style="mso-spacerun: yes">  </span>4</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、进行检验</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">①</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">标准误差：估计值与因变量值间的平均平方误差。其计算公式为：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 13pt; mso-text-raise: -13.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">②</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">可决系数：衡量自变量与因变量关系密切程度的指标，在</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">0</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">与</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">1</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">之间取值。其计算公式为：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 22pt; mso-text-raise: -22.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">③</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">相关系数；计算公式为：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 21pt; mso-text-raise: -21.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">④</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">回归系数显著性检验</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">i</span></span><span style="mso-bidi-font-size: 10.5pt"> </span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验假设：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><span style="mso-spacerun: yes"><font face="Times New Roman">  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">ii</span></span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验统计量：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 15pt; mso-text-raise: -15.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">~</font><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，其中</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 21pt; mso-text-raise: -21.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">iii</span></span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验规则：给定显著性水平α，若</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，则回归系数显著。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">⑤</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">回归模型的显著性检验</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">&nbsp;&nbsp;&nbsp;&nbsp;  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">i</span></span><span style="mso-bidi-font-size: 10.5pt"> </span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验假设：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">回归方程不显著</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">回归方程显著。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">ii</span></span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验统计量：</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 29pt; mso-text-raise: -29.0pt"><font face="Times New Roman"> </font></span><font face="Times New Roman">~</font><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman"> </font></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><font face="Times New Roman"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes">  </span></span><span style="mso-bidi-font-size: 10.5pt"><span style="mso-no-proof: yes">iii</span></span></font><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">检验规则：给定显著性水平α，若</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 7pt; mso-text-raise: -7.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，则回归方程显著。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi- mso-no-proof: yes">⑥</span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">得宾&mdash;沃森统计量（</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">D</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">&mdash;</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">W</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">）：检验</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">之间是否存在自相关关系。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 31.5pt; mso-char-indent-count: 3.0"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman"> </font></span><span style="position: relative; top: 30pt; mso-text-raise: -30.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">，其中</span><span style="mso-bidi-font-size: 10.5pt"><span style="position: relative; top: 6pt; mso-text-raise: -6.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt; text-indent: 10.5pt; mso-char-indent-count: 1.0"><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">5</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">、进行预测</span><span style="mso-bidi-font-size: 10.5pt"></span></p>
<p class="MsoNormal" style="margin: 0cm 0cm 0pt"><span style="mso-bidi-font-size: 10.5pt"><span style="mso-spacerun: yes"><font face="Times New Roman">&nbsp;&nbsp;  </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">小样本情况下</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">,</font></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">近似的置信区间的常用公式为：置信区间</span><span style="mso-bidi-font-size: 10.5pt"><font face="Times New Roman">=</font><span style="position: relative; top: 5pt; mso-text-raise: -5.0pt"><font face="Times New Roman"> </font></span></span><span style=" mso-bidi-font-size: 10.5pt; mso-ascii- mso-hansi-">。</span><span style="mso-bidi-font-size: 10.5pt"></span></p> <a href="http://hi.baidu.com/ahei3791/blog/item/2733ea973b63a46855fb96c6.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%CD%B3%BC%C6%D6%AA%CA%B6">统计知识</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/2733ea973b63a46855fb96c6.html#comment">查看评论</a>]]></description>
        <pubDate>2008-06-07  09:48</pubDate>
        <category><![CDATA[统计知识]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/2733ea973b63a46855fb96c6.html</guid>
</item>

<item>
        <title><![CDATA[第七章　征收管理  第八章　附　　则]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/a75600bfe77f670e18d81f76.html]]></link>
        <description><![CDATA[
		
		<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第七章　征收管理</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　第一百二十四条</span></strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　企业所得税法第五十条所称企业登记注册地，是指企业依照国家有关规定登记注册的住所地。</span></font><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　第一百二十五条</span></strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　企业汇总计算并缴纳企业所得税时，应当统一核算应纳税所得额，具体办法由国务院财政、税务主管部门另行制定。</span></font><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　第一百二十六条</span></strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　企业所得税法第五十一条所称主要机构、场所，应当同时符合下列条件：</span></font><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）对其他各机构、场所的生产经营活动负有监督管理责任；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）设有完整的账簿、凭证，能够准确反映各机构、场所的收入、成本、费用和盈亏情况。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百二十七条　</strong>企业所得税法第五十一条所称经税务机关审核批准，是指经各机构、场所所在地税务机关的共同上级税务机关审核批准。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　非居民企业经批准汇总缴纳企业所得税后，需要增设、合并、迁移、关闭机构、场所或者停止机构、场所业务的，应当事先由负责汇总申报缴纳企业所得税的主要机构、场所向其所在地税务机关报告；需要变更汇总缴纳企业所得税的主要机构、场所的，依照前款规定办理。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百二十八条</strong>　企业所得税分月或者分季预缴，由税务机关具体核定。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业根据企业所得税法第五十四条规定分月或者分季预缴企业所得税时，应当按照月度或者季度的实际利润额预缴；按照月度或者季度的实际利润额预缴有困难的，可以按照上一纳税年度应纳税所得额的月度或者季度平均额预缴，或者按照经税务机关认可的其他方法预缴。预缴方法一经确定，该纳税年度内不得随意变更。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><font face="宋体"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　<strong>第一百二十九条</strong>　企业在纳税年度内无论盈利或者亏损，都应当依照企业所得税法第五十四条规定的期限，向税务机关报送预缴企业所得税纳税申报表、年度企业所得税纳税申报表、财务会计报告和税务机关规定应当报送的其他有关资料。</span><span style="font-size: 10.5pt; color: #555555; "></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百三十条</strong>　企业所得以人民币以外的货币计算的，预缴企业所得税时，应当按照月度或者季度最后一日的人民币汇率中间价，折合成人民币计算应纳税所得额。年度终了汇算清缴时，对已经按照月度或者季度预缴税款的，不再重新折合计算，只就该纳税年度内未缴纳企业所得税的部分，按照纳税年度最后一日的人民币汇率中间价，折合成人民币计算应纳税所得额。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">经税务机关检查确认，企业少计或者多计前款规定的所得的，应当按照检查确认补税或者退税时的上一个月最后一日的人民币汇率中间价，将少计或者多计的所得折合成人民币计算应纳税所得额，再计算应补缴或者应退的税款。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第八章　附　　则</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百三十一条</strong>　企业所得税法第五十七条第一款所称本法公布前已经批准设立的企业，是指企业所得税法公布前已经完成登记注册的企业。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百三十二条</strong>　在香港特别行政区、澳门特别行政区和台湾地区成立的企业，参照适用企业所得税法第二条第二款、第三款的有关规定。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">　<strong>　第一百三十三条</strong>　本条例自</span><st1:chsdate isrocdate="False" islunardate="False" day="1" month="1" year="2008"><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">2008</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">年</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">1</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">月</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">1</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">日起</span></st1:chsdate><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">施行。</span><st1:chsdate isrocdate="False" islunardate="False" day="30" month="6" year="1991"><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">1991</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">年</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">6</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">月</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">30</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">日</span></st1:chsdate><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">国务院发布的《中华人民共和国外商投资企业和外国企业所得税法实施细则》和</span><st1:chsdate isrocdate="False" islunardate="False" day="4" month="2" year="1994"><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">1994</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">年</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">2</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">月</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">4</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">日</span></st1:chsdate><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">财政部发布的《中华人民共和国企业所得税暂行条例实施细则》同时废止</span> <a href="http://hi.baidu.com/ahei3791/blog/item/a75600bfe77f670e18d81f76.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%BB%E1%BC%C6%B7%A8%B9%E6">会计法规</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/a75600bfe77f670e18d81f76.html#comment">查看评论</a>]]></description>
        <pubDate>2008-03-29  12:16</pubDate>
        <category><![CDATA[会计法规]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/a75600bfe77f670e18d81f76.html</guid>
</item>

<item>
        <title><![CDATA[第五章 源泉扣缴  第六章　特别纳税调整]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/a124ac5917d3332e2934f076.html]]></link>
        <description><![CDATA[
		
		<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第五章　源泉扣缴</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百零三条</strong>　依照企业所得税法对非居民企业应当缴纳的企业所得税实行源泉扣缴的，应当依照企业所得税法第十九条的规定计算应纳税所得额。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第十九条所称收入全额，是指非居民企业向支付人收取的全部价款和价外费用。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百零四条</strong>　企业所得税法第三十七条所称支付人，是指依照有关法律规定或者合同约定对非居民企业直接负有支付相关款项义务的单位或者个人。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百零五条</strong>　企业所得税法第三十七条所称支付，包括现金支付、汇拨支付、转账支付和权益兑价支付等货币支付和非货币支付。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第三十七条所称到期应支付的款项，是指支付人按照权责发生制原则应当计入相关成本、费用的应付款项。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百零六条</strong>　企业所得税法第三十八条规定的可以指定扣缴义务人的情形，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）预计工程作业或者提供劳务期限不足一个纳税年度，且有证据表明不履行纳税义务的；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）没有办理税务登记或者临时税务登记，且未委托中国境内的代理人履行纳税义务的；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）未按照规定期限办理企业所得税纳税申报或者预缴申报的。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　前款规定的扣缴义务人，由县级以上税务机关指定，并同时告知扣缴义务人所扣税款的计算依据、计算方法、扣缴期限和扣缴方式。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百零七条</strong>　企业所得税法第三十九条所称所得发生地，是指依照本条例第七条规定的原则确定的所得发生地。在中国境内存在多处所得发生地的，由纳税人选择其中之一申报缴纳企业所得税。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百零八条</strong>　企业所得税法第三十九条所称该纳税人在中国境内其他收入，是指该纳税人在中国境内取得的其他各种来源的收入。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">税务机关在追缴该纳税人应纳税款时，应当将追缴理由、追缴数额、缴纳期限和缴纳方式等告知该纳税人。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第六章　特别纳税调整</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百零九条　</strong>企业所得税法第四十一条所称关联方，是指与企业有下列关联关系之一的企业、其他组织或者个人：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）在资金、经营、购销等方面存在直接或者间接的控制关系；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）直接或者间接地同为第三者控制；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）在利益上具有相关联的其他关系。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百一十条</strong>　企业所得税法第四十一条所称独立交易原则，是指没有关联关系的交易各方，按照公平成交价格和营业常规进行业务往来遵循的原则。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百一十一条</strong>　企业所得税法第四十一条所称合理方法，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）可比非受控价格法，是指按照没有关联关系的交易各方进行相同或者类似业务往来的价格进行定价的方法；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）再销售价格法，是指按照从关联方购进商品再销售给没有关联关系的交易方的价格，减除相同或者类似业务的销售毛利进行定价的方法；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）成本加成法，是指按照成本加合理的费用和利润进行定价的方法；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（四）交易净利润法，是指按照没有关联关系的交易各方进行相同或者类似业务往来取得的净利润水平确定利润的方法；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（五）利润分割法，是指将企业与其关联方的合并利润或者亏损在各方之间采用合理标准进行分配的方法；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（六）其他符合独立交易原则的方法。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百一十二条</strong>　企业可以依照企业所得税法第四十一条第二款的规定，按照独立交易原则与其关联方分摊共同发生的成本，达成成本分摊协议。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业与其关联方分摊成本时，应当按照成本与预期收益相配比的原则进行分摊，并在税务机关规定的期限内，按照税务机关的要求报送有关资料。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业与其关联方分摊成本时违反本条第一款、第二款规定的，其自行分摊的成本不得在计算应纳税所得额时扣除。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百一十三条</strong>　企业所得税法第四十二条所称预约定价安排，是指企业就其未来年度关联交易的定价原则和计算方法，向税务机关提出申请，与税务机关按照独立交易原则协商、确认后达成的协议。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百一十四条</strong>　企业所得税法第四十三条所称相关资料，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）与关联业务往来有关的价格、费用的制定标准、计算方法和说明等同期资料；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）关联业务往来所涉及的财产、财产使用权、劳务等的再销售（转让）价格或者最终销售（转让）价格的相关资料；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）与关联业务调查有关的其他企业应当提供的与被调查企业可比的产品价格、定价方式以及利润水平等资料；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（四）其他与关联业务往来有关的资料。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第四十三条所称与关联业务调查有关的其他企业，是指与被调查企业在生产经营内容和方式上相类似的企业。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业应当在税务机关规定的期限内提供与关联业务往来有关的价格、费用的制定标准、计算方法和说明等资料。关联方以及与关联业务调查有关的其他企业应当在税务机关与其约定的期限内提供相关资料。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百一十五条</strong>　税务机关依照企业所得税法第四十四条的规定核定企业的应纳税所得额时，可以采用下列方法：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）参照同类或者类似企业的利润率水平核定；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）按照企业成本加合理的费用和利润的方法核定；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）按照关联企业集团整体利润的合理比例核定；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（四）按照其他合理方法核定。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业对税务机关按照前款规定的方法核定的应纳税所得额有异议的，应当提供相关证据，经税务机关认定后，调整核定的应纳税所得额。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第一百一十六条</strong>　企业所得税法第四十五条所称中国居民，是指根据《中华人民共和国个人所得税法》的规定，就其从中国境内、境外取得的所得在中国缴纳个人所得税的个人。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百一十七条</strong>　企业所得税法第四十五条所称控制，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）居民企业或者中国居民直接或者间接单一持有外国企业</font></span><span style="font-size: 10.5pt; color: #555555; ">10%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">以上有表决权股份，且由其共同持有该外国企业</font></span><span style="font-size: 10.5pt; color: #555555; ">50%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">以上股份；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）居民企业，或者居民企业和中国居民持股比例没有达到第（一）项规定的标准，但在股份、资金、经营、购销等方面对该外国企业构成实质控制。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百一十八条</strong>　企业所得税法第四十五条所称实际税负明显低于企业所得税法第四条第一款规定税率水平，是指低于企业所得税法第四条第一款规定税率的</font></span><span style="font-size: 10.5pt; color: #555555; ">50%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　第一百一十九条　</span></strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">企业所得税法第四十六条所称债权性投资，是指企业直接或者间接从关联方获得的，需要偿还本金和支付利息或者需要以其他具有支付利息性质的方式予以补偿的融资。</span></font><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业间接从关联方获得的债权性投资，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）关联方通过无关联第三方提供的债权性投资；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）无关联第三方提供的、由关联方担保且负有连带责任的债权性投资；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）其他间接从关联方获得的具有负债实质的债权性投资。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第四十六条所称权益性投资，是指企业接受的不需要偿还本金和支付利息，投资人对企业净资产拥有所有权的投资。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><font face="宋体"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　企业所得税法第四十六条所称标准，由国务院财政、税务主管部门另行规定。</span><span style="font-size: 10.5pt; color: #555555; "></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百二十条</strong>　企业所得税法第四十七条所称不具有合理商业目的，是指以减少、免除或者推迟缴纳税款为主要目的。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百二十一条</strong>　税务机关根据税收法律、行政法规的规定，对企业作出特别纳税调整的，应当对补征的税款，自税款所属纳税年度的次年</font></span><span style="font-size: 10.5pt; color: #555555; ">6</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">月</font></span><span style="font-size: 10.5pt; color: #555555; ">1</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">日起至补缴税款之日止的期间，按日加收利息。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　前款规定加收的利息，不得在计算应纳税所得额时扣除。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百二十二条</strong>　企业所得税法第四十八条所称利息，应当按照税款所属纳税年度中国人民银行公布的与补税期间同期的人民币贷款基准利率加</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">个百分点计算。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业依照企业所得税法第四十三条和本条例的规定提供有关资料的，可以只按前款规定的人民币贷款基准利率计算利息。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">　　<strong>第一百二十三条</strong>　企业与其关联方之间的业务往来，不符合独立交易原则，或者企业实施其他不具有合理商业目的安排的，税务机关有权在该业务发生的纳税年度起</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">10</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">年内，进行纳税调整。</span> <a href="http://hi.baidu.com/ahei3791/blog/item/a124ac5917d3332e2934f076.html">阅读全文</a>
		
		<br/><b>类别：</b><a href="http://hi.baidu.com/ahei3791/blog/category/%BB%E1%BC%C6%B7%A8%B9%E6">会计法规</a>&nbsp;<a href="http://hi.baidu.com/ahei3791/blog/item/a124ac5917d3332e2934f076.html#comment">查看评论</a>]]></description>
        <pubDate>2008-03-29  12:16</pubDate>
        <category><![CDATA[会计法规]]></category>
        <author><![CDATA[ahei3791]]></author>
		<guid>http://hi.baidu.com/ahei3791/blog/item/a124ac5917d3332e2934f076.html</guid>
</item>

<item>
        <title><![CDATA[第四章　税收优惠]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/c73bfffa1376411aa9d31175.html]]></link>
        <description><![CDATA[
		
		<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第四章　税收优惠</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第八十二条</strong>　企业所得税法第二十六条第（一）项所称国债利息收入，是指企业持有国务院财政部门发行的国债取得的利息收入。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第八十三条</strong>　企业所得税法第二十六条第（二）项所称符合条件的居民企业之间的股息、红利等权益性投资收益，是指居民企业直接投资于其他居民企业取得的投资收益。企业所得税法第二十六条第（二）项和第（三）项所称股息、红利等权益性投资收益，不包括连续持有居民企业公开发行并上市流通的股票不足</font></span><span style="font-size: 10.5pt; color: #555555; ">12</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">个月取得的投资收益。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第八十四条</strong>　企业所得税法第二十六条第（四）项所称符合条件的非营利组织，是指同时符合下列条件的组织：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）依法履行非营利组织登记手续；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）从事公益性或者非营利性活动；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）取得的收入除用于与该组织有关的、合理的支出外，全部用于登记核定或者章程规定的公益性或者非营利性事业；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（四）财产及其孳息不用于分配；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（五）按照登记核定或者章程规定，该组织注销后的剩余财产用于公益性或者非营利性目的，或者由登记管理机关转赠给与该组织性质、宗旨相同的组织，并向社会公告；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（六）投入人对投入该组织的财产不保留或者享有任何财产权利；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（七）工作人员工资福利开支控制在规定的比例内，不变相分配该组织的财产。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　前款规定的非营利组织的认定管理办法由国务院财政、税务主管部门会同国务院有关部门制定。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第八十五条</strong>　企业所得税法第二十六条第（四）项所称符合条件的非营利组织的收入，不包括非营利组织从事营利性活动取得的收入，但国务院财政、税务主管部门另有规定的除外。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第八十六条　</strong>企业所得税法第二十七条第（一）项规定的企业从事农、林、牧、渔业项目的所得，可以免征、减征企业所得税，是指：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）企业从事下列项目的所得，免征企业所得税：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">1</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．蔬菜、谷物、薯类、油料、豆类、棉花、麻类、糖料、水果、坚果的种植；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">2</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．农作物新品种的选育；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">3</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．中药材的种植；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">4</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．林木的培育和种植；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．牲畜、家禽的饲养；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">6</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．林产品的采集；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">7</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．灌溉、农产品初加工、兽医、农技推广、农机作业和维修等农、林、牧、渔服务业项目；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">8</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．远洋捕捞。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）企业从事下列项目的所得，减半征收企业所得税：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">1</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．花卉、茶以及其他饮料作物和香料作物的种植；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　</font></span><span style="font-size: 10.5pt; color: #555555; ">2</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">．海水养殖、内陆养殖。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业从事国家限制和禁止发展的项目，不得享受本条规定的企业所得税优惠。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第八十七条</strong>　企业所得税法第二十七条第（二）项所称国家重点扶持的公共基础设施项目，是指《公共基础设施项目企业所得税优惠目录》规定的港口码头、机场、铁路、公路、城市公共交通、电力、水利等项目。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业从事前款规定的国家重点扶持的公共基础设施项目的投资经营的所得，自项目取得第一笔生产经营收入所属纳税年度起，第一年至第三年免征企业所得税，第四年至第六年减半征收企业所得税。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业承包经营、承包建设和内部自建自用本条规定的项目，不得享受本条规定的企业所得税优惠。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第八十八条</strong>　企业所得税法第二十七条第（三）项所称符合条件的环境保护、节能节水项目，包括公共污水处理、公共垃圾处理、沼气综合开发利用、节能减排技术改造、海水淡化等。项目的具体条件和范围由国务院财政、税务主管部门商国务院有关部门制订，报国务院批准后公布施行。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业从事前款规定的符合条件的环境保护、节能节水项目的所得，自项目取得第一笔生产经营收入所属纳税年度起，第一年至第三年免征企业所得税，第四年至第六年减半征收企业所得税。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第八十九条</strong>　依照本条例第八十七条和第八十八条规定享受减免税优惠的项目，在减免税期限内转让的，受让方自受让之日起，可以在剩余期限内享受规定的减免税优惠；减免税期限届满后转让的，受让方不得就该项目重复享受减免税优惠。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十条</strong>　企业所得税法第二十七条第（四）项所称符合条件的技术转让所得免征、减征企业所得税，是指一个纳税年度内，居民企业技术转让所得不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">500</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元的部分，免征企业所得税；超过</font></span><span style="font-size: 10.5pt; color: #555555; ">500</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元的部分，减半征收企业所得税。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　第九十一条</span></strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　非居民企业取得企业所得税法第二十七条第（五）项规定的所得，减按</span></font><span style="font-size: 10.5pt; color: #555555; ">10%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">的税率征收企业所得税。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　下列所得可以免征企业所得税：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）外国政府向中国政府提供贷款取得的利息所得；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）国际金融组织向中国政府和居民企业提供优惠贷款取得的利息所得；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）经国务院批准的其他所得。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; ">   </span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>第九十二条</strong>　企业所得税法第二十八条第一款所称符合条件的小型微利企业，是指从事国家非限制和禁止行业，并符合下列条件的企业：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）工业企业，年度应纳税所得额不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">30</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元，从业人数不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">100</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">人，资产总额不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">3000</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）其他企业，年度应纳税所得额不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">30</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元，从业人数不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">80</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">人，资产总额不超过</font></span><span style="font-size: 10.5pt; color: #555555; ">1000</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">万元。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十三条</strong>　企业所得税法第二十八条第二款所称国家需要重点扶持的高新技术企业，是指拥有核心自主知识产权，并同时符合下列条件的企业：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）产品（服务）属于《国家重点支持的高新技术领域》规定的范围；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）研究开发费用占销售收入的比例不低于规定比例；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（三）高新技术产品（服务）收入占企业总收入的比例不低于规定比例；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（四）科技人员占企业职工总数的比例不低于规定比例；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（五）高新技术企业认定管理办法规定的其他条件。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　《国家重点支持的高新技术领域》和高新技术企业认定管理办法由国务院科技、财政、税务主管部门商国务院有关部门制订，报国务院批准后公布施行。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第九十四条</strong>　企业所得税法第二十九条所称民族自治地方，是指依照《中华人民共和国民族区域自治法》的规定，实行民族区域自治的自治区、自治州、自治县。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><font face="宋体"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">　　对民族自治地方内国家限制和禁止行业的企业，不得减征或者免征企业所得税。</span><span style="font-size: 10.5pt; color: #555555; "></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　<strong>　第九十五条</strong>　企业所得税法第三十条第（一）项所称研究开发费用的加计扣除，是指企业为开发新技术、新产品、新工艺发生的研究开发费用，未形成无形资产计入当期损益的，在按照规定据实扣除的基础上，按照研究开发费用的</font></span><span style="font-size: 10.5pt; color: #555555; ">50%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">加计扣除；形成无形资产的，按照无形资产成本的</font></span><span style="font-size: 10.5pt; color: #555555; ">150%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">摊销。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十六条　</strong>企业所得税法第三十条第（二）项所称企业安置残疾人员所支付的工资的加计扣除，是指企业安置残疾人员的，在按照支付给残疾职工工资据实扣除的基础上，按照支付给残疾职工工资的</font></span><span style="font-size: 10.5pt; color: #555555; ">100%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">加计扣除。残疾人员的范围适用《中华人民共和国残疾人保障法》的有关规定。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第三十条第（二）项所称企业安置国家鼓励安置的其他就业人员所支付的工资的加计扣除办法，由国务院另行规定。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十七条　</strong>企业所得税法第三十一条所称抵扣应纳税所得额，是指创业投资企业采取股权投资方式投资于未上市的中小高新技术企业</font></span><span style="font-size: 10.5pt; color: #555555; ">2</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">年以上的，可以按照其投资额的</font></span><span style="font-size: 10.5pt; color: #555555; ">70%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">在股权持有满</font></span><span style="font-size: 10.5pt; color: #555555; ">2</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">年的当年抵扣该创业投资企业的应纳税所得额；当年不足抵扣的，可以在以后纳税年度结转抵扣。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十八条　</strong>企业所得税法第三十二条所称可以采取缩短折旧年限或者采取加速折旧的方法的固定资产，包括：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（一）由于技术进步，产品更新换代较快的固定资产；</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　（二）常年处于强震动、高腐蚀状态的固定资产。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　采取缩短折旧年限方法的，最低折旧年限不得低于本条例第六十条规定折旧年限的</font></span><span style="font-size: 10.5pt; color: #555555; ">60%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">；采取加速折旧方法的，可以采取双倍余额递减法或者年数总和法。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第九十九条</strong>　企业所得税法第三十三条所称减计收入，是指企业以《资源综合利用企业所得税优惠目录》规定的资源作为主要原材料，生产国家非限制和禁止并符合国家和行业相关标准的产品取得的收入，减按</font></span><span style="font-size: 10.5pt; color: #555555; ">90%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">计入收入总额。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　前款所称原材料占生产产品材料的比例不得低于《资源综合利用企业所得税优惠目录》规定的标准。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第一百条</strong>　企业所得税法第三十四条所称税额抵免，是指企业购置并实际使用《环境保护专用设备企业所得税优惠目录》、《节能节水专用设备企业所得税优惠目录》和《安全生产专用设备企业所得税优惠目录》规定的环境保护、节能节水、安全生产等专用设备的，该专用设备的投资额的</font></span><span style="font-size: 10.5pt; color: #555555; ">10%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">可以从企业当年的应纳税额中抵免；当年不足抵免的，可以在以后</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">个纳税年度结转抵免。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　享受前款规定的企业所得税优惠的企业，应当实际购置并自身实际投入使用前款规定的专用设备；企业购置上述专用设备在</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">年内转让、出租的，应当停止享受企业所得税优惠，并补缴已经抵免的企业所得税税款。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">　　<strong>第一百零一条</strong>　本章第八十七条、第九十九条、第一百条规定的企业所得税优惠目录，由国务院财政、税务主管部门商国务院有关部门制订，报国务院批准后公布施行。</span><span style="font-size: 10.5pt; color: #555555;  mso-fareast- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-"> <br>
</span><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">第一百零二条　企业同时从事适用不同企业所得税待遇的项目的，其优惠项目应当单独计算所得，并合理分摊企业的期间费用；没有单独计算的，不得享受企业所得税优惠</span> <a href="http://hi.baidu.com/ahei3791/blog/item/c73bfffa1376411aa9d31175.html">阅读全文</a>
		
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        <pubDate>2008-03-29  12:15</pubDate>
        <category><![CDATA[会计法规]]></category>
        <author><![CDATA[ahei3791]]></author>
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        <title><![CDATA[第三章　应纳税额]]></title>
        <link><![CDATA[http://hi.baidu.com/ahei3791/blog/item/a124ac5917d0332e2934f075.html]]></link>
        <description><![CDATA[
		
		<p style="line-height: 17.25pt; text-align: center" align="center"><font face="宋体"><strong><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-">第三章　应纳税额</span></strong><span style="font-size: 10.5pt; color: #555555"></span></font></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第七十六条</strong>　企业所得税法第二十二条规定的应纳税额的计算公式为：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　应纳税额＝应纳税所得额</font></span><span style="font-size: 10.5pt; color: #555555; ">×</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">适用税率－减免税额－抵免税额</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　公式中的减免税额和抵免税额，是指依照企业所得税法和国务院的税收优惠规定减征、免征和抵免的应纳税额。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第七十七条</strong>　企业所得税法第二十三条所称已在境外缴纳的所得税税额，是指企业来源于中国境外的所得依照中国境外税收法律以及相关规定应当缴纳并已经实际缴纳的企业所得税性质的税款。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第七十八条</strong>　企业所得税法第二十三条所称抵免限额，是指企业来源于中国境外的所得，依照企业所得税法和本条例的规定计算的应纳税额。除国务院财政、税务主管部门另有规定外，该抵免限额应当分国（地区）不分项计算，计算公式如下：</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　抵免限额＝中国境内、境外所得依照企业所得税法和本条例的规定计算的应纳税总额</font></span><span style="font-size: 10.5pt; color: #555555; ">×</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">来源于某国（地区）的应纳税所得额</font></span><span style="font-size: 10.5pt; color: #555555; ">÷</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">中国境内、境外应纳税所得总额</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第七十九条</strong>　企业所得税法第二十三条所称</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">个年度，是指从企业取得的来源于中国境外的所得，已经在中国境外缴纳的企业所得税性质的税额超过抵免限额的当年的次年起连续</font></span><span style="font-size: 10.5pt; color: #555555; ">5</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">个纳税年度。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<p style="line-height: 17.25pt"><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　<strong>第八十条</strong>　企业所得税法第二十四条所称直接控制，是指居民企业直接持有外国企业</font></span><span style="font-size: 10.5pt; color: #555555; ">20%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">以上股份。</font></span><span style="font-size: 10.5pt; color: #555555; "> <br>
</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">　　企业所得税法第二十四条所称间接控制，是指居民企业以间接持股方式持有外国企业</font></span><span style="font-size: 10.5pt; color: #555555; ">20%</span><span style="font-size: 10.5pt; color: #555555; mso-ascii- mso-hansi-"><font face="宋体">以上股份，具体认定办法由国务院财政、税务主管部门另行制定。</font></span><span style="font-size: 10.5pt; color: #555555; "> </span></p>
<strong><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">　　第八十一条</span></strong><span style="font-size: 10.5pt; color: #555555;  mso-ascii- mso-hansi- mso-font-kerning: 1.0pt; mso-bidi- mso-ansi- mso-fareast- mso-bidi-">　企业依照企业所得税法第二十三条、第二十四条的规定抵免企业所得税税额时，应当提供中国境外税务机关出具的税款所属年度的有关纳税凭证。</span> <a href="http://hi.baidu.com/ahei3791/blog/item/a124ac5917d0332e2934f075.html">阅读全文</a>
		
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        <pubDate>2008-03-29  12:14</pubDate>
        <category><![CDATA[会计法规]]></category>
        <author><![CDATA[ahei3791]]></author>
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