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<div class="refentry" title="Struct template weighted_extended_p_square_impl">
<a name="boost.accumulators.impl.weighted_extended_p_squ_id562133"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Struct template weighted_extended_p_square_impl</span></h2>
<p>boost::accumulators::impl::weighted_extended_p_square_impl — Multiple quantile estimation with the extended <span class="inlinemediaobject"><img src="../../../images/accumulators/form_6.png"></span> algorithm for weighted samples. </p>
</div>
<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="emphasis"><em>// In header: <<a class="link" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_extended_p_square_hpp" title="Header <boost/accumulators/statistics/weighted_extended_p_square.hpp>">boost/accumulators/statistics/weighted_extended_p_square.hpp</a>>
</em></span><span class="bold"><strong>template</strong></span><<span class="bold"><strong>typename</strong></span> Sample, <span class="bold"><strong>typename</strong></span> Weight>
<span class="bold"><strong>struct</strong></span> <a class="link" href="weighted_extended_p_squ_id562133.html" title="Struct template weighted_extended_p_square_impl">weighted_extended_p_square_impl</a> {
<span class="emphasis"><em>// types</em></span>
<span class="bold"><strong>typedef</strong></span> numeric::functional::multiplies< Sample, Weight >::result_type <a name="boost.accumulators.impl.weighted_extended_p_squ_id562133.weighted_sample"></a>weighted_sample;
<span class="bold"><strong>typedef</strong></span> numeric::functional::average< weighted_sample, std::size_t >::result_type <a name="boost.accumulators.impl.weighted_extended_p_squ_id562133.float_type"></a>float_type;
<span class="bold"><strong>typedef</strong></span> std::vector< float_type > <a name="boost.accumulators.impl.weighted_extended_p_squ_id562133.array_type"></a>array_type;
<span class="bold"><strong>typedef</strong></span> <span class="emphasis"><em>unspecified</em></span> <a name="boost.accumulators.impl.weighted_extended_p_squ_id562133.result_type"></a>result_type;
<span class="emphasis"><em>// <a class="link" href="weighted_extended_p_squ_id562133.html#boost.accumulators.impl.weighted_extended_p_squ_id562133construct-copy-destruct">construct/copy/destruct</a></em></span>
<span class="bold"><strong>template</strong></span><<span class="bold"><strong>typename</strong></span> Args> <a class="link" href="weighted_extended_p_squ_id562133.html#id562448-bb">weighted_extended_p_square_impl</a>(Args <span class="bold"><strong>const</strong></span> &);
<span class="emphasis"><em>// <a class="link" href="weighted_extended_p_squ_id562133.html#id562411-bb">public member functions</a></em></span>
<span class="bold"><strong>template</strong></span><<span class="bold"><strong>typename</strong></span> Args> <span class="type"><span class="bold"><strong>void</strong></span></span> <a class="link" href="weighted_extended_p_squ_id562133.html#id562414-bb"><span class="bold"><strong>operator</strong></span>()</a>(Args <span class="bold"><strong>const</strong></span> &) ;
<span class="type">result_type</span> <a class="link" href="weighted_extended_p_squ_id562133.html#id562434-bb">result</a>(dont_care) <span class="bold"><strong>const</strong></span>;
};</pre></div>
<div class="refsect1" title="Description">
<a name="id688185"></a><h2>Description</h2>
<p>This version of the extended <span class="inlinemediaobject"><img src="../../../images/accumulators/form_6.png"></span> algorithm extends the extended <span class="inlinemediaobject"><img src="../../../images/accumulators/form_6.png"></span> algorithm to support weighted samples. The extended <span class="inlinemediaobject"><img src="../../../images/accumulators/form_6.png"></span> algorithm dynamically estimates several quantiles without storing samples. Assume that <span class="inlinemediaobject"><img src="../../../images/accumulators/form_7.png"></span> quantiles <span class="inlinemediaobject"><img src="../../../images/accumulators/form_8.png"></span> are to be estimated. Instead of storing the whole sample cumulative distribution, the algorithm maintains only <span class="inlinemediaobject"><img src="../../../images/accumulators/form_9.png"></span> principal markers and <span class="inlinemediaobject"><img src="../../../images/accumulators/form_10.png"></span> middle markers, whose positions are updated with each sample and whose heights are adjusted (if necessary) using a piecewise-parablic formula. The heights of the principal markers are the current estimates of the quantiles and are returned as an iterator range.</p>
<p>For further details, see</p>
<p>K. E. E. Raatikainen, Simultaneous estimation of several quantiles, Simulation, Volume 49, Number 4 (October), 1986, p. 159-164.</p>
<p>The extended <span class="inlinemediaobject"><img src="../../../images/accumulators/form_11.png"></span> algorithm generalizess the <span class="inlinemediaobject"><img src="../../../images/accumulators/form_11.png"></span> algorithm of</p>
<p>R. Jain and I. Chlamtac, The P^2 algorithmus for dynamic calculation of quantiles and histograms without storing observations, Communications of the ACM, Volume 28 (October), Number 10, 1985, p. 1076-1085.</p>
<p>
</p>
<div class="refsect2" title="weighted_extended_p_square_impl public construct/copy/destruct">
<a name="id688395"></a><h3>
<a name="boost.accumulators.impl.weighted_extended_p_squ_id562133construct-copy-destruct"></a><code class="computeroutput">weighted_extended_p_square_impl</code>
public
construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="bold"><strong>template</strong></span><<span class="bold"><strong>typename</strong></span> Args> <a name="id562448-bb"></a>weighted_extended_p_square_impl(Args <span class="bold"><strong>const</strong></span> & args);</pre></li></ol></div>
</div>
<div class="refsect2" title="weighted_extended_p_square_impl public member functions">
<a name="id688448"></a><h3>
<a name="id562411-bb"></a><code class="computeroutput">weighted_extended_p_square_impl</code> public member functions</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem"><pre class="literallayout"><span class="bold"><strong>template</strong></span><<span class="bold"><strong>typename</strong></span> Args> <span class="type"><span class="bold"><strong>void</strong></span></span> <a name="id562414-bb"></a><span class="bold"><strong>operator</strong></span>()(Args <span class="bold"><strong>const</strong></span> & args) ;</pre></li>
<li class="listitem"><pre class="literallayout"><span class="type">result_type</span> <a name="id562434-bb"></a>result(dont_care) <span class="bold"><strong>const</strong></span>;</pre></li>
</ol></div>
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<td align="right"><div class="copyright-footer">Copyright © 2005, 2006 Eric Niebler<p>
Distributed under the Boost Software License, Version 1.0. (See accompanying
file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
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