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diff --git a/doc/html/boost/accumulators/impl/weighted_kurtosis_impl.html b/doc/html/boost/accumulators/impl/weighted_kurtosis_impl.html index 8da62d31b2..ef29070b00 100644 --- a/doc/html/boost/accumulators/impl/weighted_kurtosis_impl.html +++ b/doc/html/boost/accumulators/impl/weighted_kurtosis_impl.html @@ -6,8 +6,8 @@ <meta name="generator" content="DocBook XSL Stylesheets V1.78.1"> <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="weighted_density_impl.html" title="Struct template weighted_density_impl"> -<link rel="next" href="weighted_median_impl.html" title="Struct template weighted_median_impl"> +<link rel="prev" href="weighted_exten_idp59907536.html" title="Struct template weighted_extended_p_square_impl"> +<link rel="next" href="weighted_mean_impl.html" title="Struct template weighted_mean_impl"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> <table cellpadding="2" width="100%"><tr> @@ -20,7 +20,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="weighted_density_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_median_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="weighted_exten_idp59907536.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_mean_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> <div class="refentry"> <a name="boost.accumulators.impl.weighted_kurtosis_impl"></a><div class="titlepage"></div> @@ -34,32 +34,32 @@ </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> Weight<span class="special">></span> <span class="keyword">struct</span> <a class="link" href="weighted_kurtosis_impl.html" title="Struct template weighted_kurtosis_impl">weighted_kurtosis_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="weighted_kurtosis_impl.html#boost.accumulators.impl.weighted_kurtosis_implconstruct-copy-destruct">construct/copy/destruct</a></span> - <a class="link" href="weighted_kurtosis_impl.html#idp67290304-bb"><span class="identifier">weighted_kurtosis_impl</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span> + <a class="link" href="weighted_kurtosis_impl.html#idp59967616-bb"><span class="identifier">weighted_kurtosis_impl</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span> - <span class="comment">// <a class="link" href="weighted_kurtosis_impl.html#idp67286928-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="identifier">result_type</span> <a class="link" href="weighted_kurtosis_impl.html#idp67287488-bb"><span class="identifier">result</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="keyword">const</span><span class="special">;</span> + <span class="comment">// <a class="link" href="weighted_kurtosis_impl.html#idp59964240-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="identifier">result_type</span> <a class="link" href="weighted_kurtosis_impl.html#idp59964800-bb"><span class="identifier">result</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="keyword">const</span><span class="special">;</span> <span class="special">}</span><span class="special">;</span></pre></div> <div class="refsect1"> -<a name="idp111525280"></a><h2>Description</h2> -<p>The kurtosis of a sample distribution is defined as the ratio of the 4th central moment and the square of the 2nd central moment (the variance) of the samples, minus 3. The term <span class="inlinemediaobject"><img src="../../../images/accumulators//form_30.png"></span> is added in order to ensure that the normal distribution has zero kurtosis. The kurtosis can also be expressed by the simple moments:</p> +<a name="idp102717568"></a><h2>Description</h2> +<p>The kurtosis of a sample distribution is defined as the ratio of the 4th central moment and the square of the 2nd central moment (the variance) of the samples, minus 3. The term <span class="inlinemediaobject"><img src="../../../images/accumulators//form_55.png"></span> is added in order to ensure that the normal distribution has zero kurtosis. The kurtosis can also be expressed by the simple moments:</p> <div class="equation"> -<a name="idp111528800"></a><p class="title"><b>Equation 1.36. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_31.png" align="middle"></div></div> +<a name="idp102721088"></a><p class="title"><b>Equation 1.41. </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"></p> -<p>where <span class="inlinemediaobject"><img src="../../../images/accumulators//form_32.png"></span> are the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_33.png"></span>-th moment and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_34.png"></span> the mean (first moment) of the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_35.png"></span> samples.</p> +<p>where <span class="inlinemediaobject"><img src="../../../images/accumulators//form_57.png"></span> are the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_58.png"></span>-th moment and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_59.png"></span> the mean (first moment) of the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_52.png"></span> samples.</p> <p>The kurtosis estimator for weighted samples is formally identical to the estimator for unweighted samples, except that the weighted counterparts of all measures it depends on are to be taken. </p> <div class="refsect2"> -<a name="idp111542240"></a><h3> +<a name="idp102734528"></a><h3> <a name="boost.accumulators.impl.weighted_kurtosis_implconstruct-copy-destruct"></a><code class="computeroutput">weighted_kurtosis_impl</code> public construct/copy/destruct</h3> -<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idp67290304-bb"></a><span class="identifier">weighted_kurtosis_impl</span><span class="special">(</span><span class="identifier">dont_care</span><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"><a name="idp59967616-bb"></a><span class="identifier">weighted_kurtosis_impl</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div> </div> <div class="refsect2"> -<a name="idp111548768"></a><h3> -<a name="idp67286928-bb"></a><code class="computeroutput">weighted_kurtosis_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="identifier">result_type</span> <a name="idp67287488-bb"></a><span class="identifier">result</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="keyword">const</span><span class="special">;</span></pre></li></ol></div> +<a name="idp102741056"></a><h3> +<a name="idp59964240-bb"></a><code class="computeroutput">weighted_kurtosis_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="identifier">result_type</span> <a name="idp59964800-bb"></a><span class="identifier">result</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="keyword">const</span><span class="special">;</span></pre></li></ol></div> </div> </div> </div> @@ -73,7 +73,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="weighted_density_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_median_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="weighted_exten_idp59907536.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_mean_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> </body> </html> |