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diff --git a/doc/html/boost/accumulators/impl/variance_impl.html b/doc/html/boost/accumulators/impl/variance_impl.html index b0162fe6ec..34b4935778 100644 --- a/doc/html/boost/accumulators/impl/variance_impl.html +++ b/doc/html/boost/accumulators/impl/variance_impl.html @@ -7,7 +7,7 @@ <meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> <link rel="home" href="../../../index.html" title="The Boost C++ Libraries BoostBook Documentation Subset"> <link rel="up" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp" title="Header <boost/accumulators/statistics_fwd.hpp>"> -<link rel="prev" href="lazy_variance_impl.html" title="Struct template lazy_variance_impl"> +<link rel="prev" href="tail_variate_means_impl.html" title="Struct template tail_variate_means_impl"> <link rel="next" href="weighted_covariance_impl.html" title="Struct template weighted_covariance_impl"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> @@ -21,7 +21,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="lazy_variance_impl.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weighted_covariance_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="tail_variate_means_impl.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weighted_covariance_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> <div class="refentry"> <a name="boost.accumulators.impl.variance_impl"></a><div class="titlepage"></div> @@ -35,50 +35,50 @@ </span><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Sample<span class="special">,</span> <span class="keyword">typename</span> MeanFeature<span class="special">,</span> <span class="keyword">typename</span> Tag<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="variance_impl.html" title="Struct template variance_impl">variance_impl</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">accumulator_base</span> <span class="special">{</span> <span class="comment">// <a class="link" href="variance_impl.html#boost.accumulators.impl.variance_implconstruct-copy-destruct">construct/copy/destruct</a></span> - <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_30_6-bb"><span class="identifier">variance_impl</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_36_6-bb"><span class="identifier">variance_impl</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> - <span class="comment">// <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_30_5-bb">public member functions</a></span> - <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_30_5_1-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> - <span class="identifier">result_type</span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_30_5_2-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span> + <span class="comment">// <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_36_5-bb">public member functions</a></span> + <span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_36_5_1-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span><span class="special">)</span><span class="special">;</span> + <span class="identifier">result_type</span> <a class="link" href="variance_impl.html#id-1_3_2_6_3_59_1_1_22_36_5_2-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span> <span class="special">}</span><span class="special">;</span></pre></div> <div class="refsect1"> -<a name="id-1.3.2.6.3.57.34.4"></a><h2>Description</h2> +<a name="id-1.3.2.6.3.57.40.4"></a><h2>Description</h2> <p>Iterative calculation of sample variance <span class="inlinemediaobject"><img src="../../../images/accumulators//form_55.png"></span> according to the formula </p> <div class="equation"> -<a name="id-1.3.2.6.3.57.34.4.2.2"></a><p class="title"><b>Equation 1.31. </b></p> +<a name="id-1.3.2.6.3.57.40.4.2.2"></a><p class="title"><b>Equation 1.36. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_56.png" align="middle"></div></div> </div> <p><br class="equation-break"> where </p> <div class="equation"> -<a name="id-1.3.2.6.3.57.34.4.2.3"></a><p class="title"><b>Equation 1.32. </b></p> +<a name="id-1.3.2.6.3.57.40.4.2.3"></a><p class="title"><b>Equation 1.37. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_54.png" align="middle"></div></div> </div> <p><br class="equation-break"> is the estimate of the sample mean and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_3.png"></span> is the number of samples.</p> <p>Note that the sample variance is not defined for <span class="inlinemediaobject"><img src="../../../images/accumulators//form_8.png"></span>.</p> <p>A simplification can be obtained by the approximate recursion </p> <div class="equation"> -<a name="id-1.3.2.6.3.57.34.4.4.1"></a><p class="title"><b>Equation 1.33. </b></p> +<a name="id-1.3.2.6.3.57.40.4.4.1"></a><p class="title"><b>Equation 1.38. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_57.png" align="middle"></div></div> </div> <p><br class="equation-break"> because the difference </p> <div class="equation"> -<a name="id-1.3.2.6.3.57.34.4.4.2"></a><p class="title"><b>Equation 1.34. </b></p> +<a name="id-1.3.2.6.3.57.40.4.4.2"></a><p class="title"><b>Equation 1.39. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_58.png" align="middle"></div></div> </div> <p><br class="equation-break"> converges to zero as <span class="inlinemediaobject"><img src="../../../images/accumulators//form_59.png"></span>. However, for small <span class="inlinemediaobject"><img src="../../../images/accumulators//form_33.png"></span> the difference can be non-negligible. </p> <div class="refsect2"> -<a name="id-1.3.2.6.3.57.34.4.5"></a><h3> +<a name="id-1.3.2.6.3.57.40.4.5"></a><h3> <a name="boost.accumulators.impl.variance_implconstruct-copy-destruct"></a><code class="computeroutput">variance_impl</code> public construct/copy/destruct</h3> -<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a name="id-1_3_2_6_3_59_1_1_22_30_6-bb"></a><span class="identifier">variance_impl</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li></ol></div> +<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <a name="id-1_3_2_6_3_59_1_1_22_36_6-bb"></a><span class="identifier">variance_impl</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li></ol></div> </div> <div class="refsect2"> -<a name="id-1.3.2.6.3.57.34.4.6"></a><h3> -<a name="id-1_3_2_6_3_59_1_1_22_30_5-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> +<a name="id-1.3.2.6.3.57.40.4.6"></a><h3> +<a name="id-1_3_2_6_3_59_1_1_22_36_5-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> <div class="orderedlist"><ol class="orderedlist" type="1"> -<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a name="id-1_3_2_6_3_59_1_1_22_30_5_1-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li> -<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="id-1_3_2_6_3_59_1_1_22_30_5_2-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li> +<li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="keyword">void</span> <a name="id-1_3_2_6_3_59_1_1_22_36_5_1-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span><span class="special">;</span></pre></li> +<li class="listitem"><pre class="literallayout"><span class="identifier">result_type</span> <a name="id-1_3_2_6_3_59_1_1_22_36_5_2-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li> </ol></div> </div> </div> @@ -93,7 +93,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="lazy_variance_impl.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weighted_covariance_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="tail_variate_means_impl.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="weighted_covariance_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> </body> </html> |