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Diffstat (limited to 'doc/html/boost/accumulators/impl/variance_impl.html')
| -rw-r--r--[-rwxr-xr-x] | doc/html/boost/accumulators/impl/variance_impl.html | 30 |
1 files changed, 15 insertions, 15 deletions
diff --git a/doc/html/boost/accumulators/impl/variance_impl.html b/doc/html/boost/accumulators/impl/variance_impl.html index 1b125cc2ae..16d52d63a2 100755..100644 --- a/doc/html/boost/accumulators/impl/variance_impl.html +++ b/doc/html/boost/accumulators/impl/variance_impl.html @@ -37,50 +37,50 @@ <span class="keyword">typedef</span> <span class="identifier">numeric</span><span class="special">::</span><span class="identifier">functional</span><span class="special">::</span><span class="identifier">average</span><span class="special"><</span> <span class="identifier">Sample</span><span class="special">,</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">size_t</span> <span class="special">></span><span class="special">::</span><span class="identifier">result_type</span> <a name="boost.accumulators.impl.variance_impl.result_type"></a><span class="identifier">result_type</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#id571763-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#id572518-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#id571726-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#id571729-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#id571750-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#id572481-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#id572485-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#id572505-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="id950473"></a><h2>Description</h2> +<a name="id950444"></a><h2>Description</h2> <p>Iterative calculation of sample variance <span class="inlinemediaobject"><img src="../../../images/accumulators/form_75.png"></span> according to the formula </p> <div class="equation"> -<a name="id950500"></a><p class="title"><b>Equation 1.23. </b></p> +<a name="id950470"></a><p class="title"><b>Equation 1.23. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators/form_76.png" align="middle"></div></div> </div> <p><br class="equation-break"> where </p> <div class="equation"> -<a name="id950526"></a><p class="title"><b>Equation 1.24. </b></p> +<a name="id950497"></a><p class="title"><b>Equation 1.24. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators/form_74.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_60.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_77.png"></span>.</p> <p>A simplification can be obtained by the approximate recursion </p> <div class="equation"> -<a name="id950596"></a><p class="title"><b>Equation 1.25. </b></p> +<a name="id950567"></a><p class="title"><b>Equation 1.25. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators/form_78.png" align="middle"></div></div> </div> <p><br class="equation-break"> because the difference </p> <div class="equation"> -<a name="id950622"></a><p class="title"><b>Equation 1.26. </b></p> +<a name="id950593"></a><p class="title"><b>Equation 1.26. </b></p> <div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators/form_79.png" align="middle"></div></div> </div> <p><br class="equation-break"> converges to zero as <span class="inlinemediaobject"><img src="../../../images/accumulators/form_80.png"></span>. However, for small <span class="inlinemediaobject"><img src="../../../images/accumulators/form_17.png"></span> the difference can be non-negligible. </p> <div class="refsect2"> -<a name="id950689"></a><h3> +<a name="id950660"></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="id571763-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="id572518-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="id950776"></a><h3> -<a name="id571726-bb"></a><code class="computeroutput">variance_impl</code> public member functions</h3> +<a name="id950747"></a><h3> +<a name="id572481-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="id571729-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="id571750-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="id572485-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="id572505-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> |