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Diffstat (limited to 'doc/html/boost/accumulators/impl/variance_impl.html')
| -rw-r--r-- | doc/html/boost/accumulators/impl/variance_impl.html | 31 |
1 files changed, 16 insertions, 15 deletions
diff --git a/doc/html/boost/accumulators/impl/variance_impl.html b/doc/html/boost/accumulators/impl/variance_impl.html index 3d6a7013e9..96d671d6a2 100644 --- a/doc/html/boost/accumulators/impl/variance_impl.html +++ b/doc/html/boost/accumulators/impl/variance_impl.html @@ -1,3 +1,4 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> <html> <head> <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> @@ -34,50 +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#idp59859856-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#idp66544832-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#idp59854944-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#idp59855504-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#idp59857888-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#idp66539920-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#idp66540480-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#idp66542864-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="idp102373424"></a><h2>Description</h2> +<a name="idp110455232"></a><h2>Description</h2> <p>Iterative calculation of sample variance <span class="inlinemediaobject"><img src="../../../images/accumulators//form_47.png"></span> according to the formula </p> <div class="equation"> -<a name="idp102376592"></a><p class="title"><b>Equation 1.36. </b></p> +<a name="idp110458400"></a><p class="title"><b>Equation 1.36. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_48.png" align="middle"></div></div> </div> <p><br class="equation-break"> where </p> <div class="equation"> -<a name="idp102379632"></a><p class="title"><b>Equation 1.37. </b></p> +<a name="idp110461440"></a><p class="title"><b>Equation 1.37. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_46.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="idp102387952"></a><p class="title"><b>Equation 1.38. </b></p> +<a name="idp110469680"></a><p class="title"><b>Equation 1.38. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_49.png" align="middle"></div></div> </div> <p><br class="equation-break"> because the difference </p> <div class="equation"> -<a name="idp102390912"></a><p class="title"><b>Equation 1.39. </b></p> +<a name="idp110472640"></a><p class="title"><b>Equation 1.39. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_50.png" align="middle"></div></div> </div> <p><br class="equation-break"> converges to zero as <span class="inlinemediaobject"><img src="../../../images/accumulators//form_51.png"></span>. However, for small <span class="inlinemediaobject"><img src="../../../images/accumulators//form_52.png"></span> the difference can be non-negligible. </p> <div class="refsect2"> -<a name="idp102398736"></a><h3> +<a name="idp110480464"></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="idp59859856-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="idp66544832-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="idp102409408"></a><h3> -<a name="idp59854944-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> +<a name="idp110491136"></a><h3> +<a name="idp66539920-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="idp59855504-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="idp59857888-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="idp66540480-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="idp66542864-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> |