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From er...@apache.org
Subject [11/51] [partial] commons-complex git commit: Removed "site-content" directory.
Date Fri, 06 Jan 2017 17:09:51 GMT
http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/05672c1dee60d47c54abc88005a69f68cf762a25.svn-base
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diff --git a/site-content/.svn/pristine/05/05672c1dee60d47c54abc88005a69f68cf762a25.svn-base b/site-content/.svn/pristine/05/05672c1dee60d47c54abc88005a69f68cf762a25.svn-base
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http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base
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diff --git a/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base b/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base
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-<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
-<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">
-<head><meta http-equiv="content-type" content="text/html; charset=UTF-8" />
-<title>CentralPivotingStrategy xref</title>
-<link type="text/css" rel="stylesheet" href="../../../../../stylesheet.css" />
-</head>
-<body>
-<div id="overview"><a href="../../../../../../apidocs/org/apache/commons/math3/util/CentralPivotingStrategy.html">View Javadoc</a></div><pre>
-<a class="jxr_linenumber" name="L1" href="#L1">1</a>   <em class="jxr_comment">/*</em>
-<a class="jxr_linenumber" name="L2" href="#L2">2</a>   <em class="jxr_comment"> * Licensed to the Apache Software Foundation (ASF) under one or more</em>
-<a class="jxr_linenumber" name="L3" href="#L3">3</a>   <em class="jxr_comment"> * contributor license agreements.  See the NOTICE file distributed with</em>
-<a class="jxr_linenumber" name="L4" href="#L4">4</a>   <em class="jxr_comment"> * this work for additional information regarding copyright ownership.</em>
-<a class="jxr_linenumber" name="L5" href="#L5">5</a>   <em class="jxr_comment"> * The ASF licenses this file to You under the Apache License, Version 2.0</em>
-<a class="jxr_linenumber" name="L6" href="#L6">6</a>   <em class="jxr_comment"> * (the "License"); you may not use this file except in compliance with</em>
-<a class="jxr_linenumber" name="L7" href="#L7">7</a>   <em class="jxr_comment"> * the License.  You may obtain a copy of the License at</em>
-<a class="jxr_linenumber" name="L8" href="#L8">8</a>   <em class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L9" href="#L9">9</a>   <em class="jxr_comment"> *      <a href="http://www.apache.org/licenses/LICENSE-2." target="alexandria_uri">http://www.apache.org/licenses/LICENSE-2.</a>0</em>
-<a class="jxr_linenumber" name="L10" href="#L10">10</a>  <em class="jxr_comment"> *</em>
-<a class="jxr_linenumber" name="L11" href="#L11">11</a>  <em class="jxr_comment"> * Unless required by applicable law or agreed to in writing, software</em>
-<a class="jxr_linenumber" name="L12" href="#L12">12</a>  <em class="jxr_comment"> * distributed under the License is distributed on an "AS IS" BASIS,</em>
-<a class="jxr_linenumber" name="L13" href="#L13">13</a>  <em class="jxr_comment"> * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.</em>
-<a class="jxr_linenumber" name="L14" href="#L14">14</a>  <em class="jxr_comment"> * See the License for the specific language governing permissions and</em>
-<a class="jxr_linenumber" name="L15" href="#L15">15</a>  <em class="jxr_comment"> * limitations under the License.</em>
-<a class="jxr_linenumber" name="L16" href="#L16">16</a>  <em class="jxr_comment"> */</em>
-<a class="jxr_linenumber" name="L17" href="#L17">17</a>  <strong class="jxr_keyword">package</strong> org.apache.commons.math3.util;
-<a class="jxr_linenumber" name="L18" href="#L18">18</a>  
-<a class="jxr_linenumber" name="L19" href="#L19">19</a>  <strong class="jxr_keyword">import</strong> java.io.Serializable;
-<a class="jxr_linenumber" name="L20" href="#L20">20</a>  
-<a class="jxr_linenumber" name="L21" href="#L21">21</a>  <strong class="jxr_keyword">import</strong> org.apache.commons.math3.exception.MathIllegalArgumentException;
-<a class="jxr_linenumber" name="L22" href="#L22">22</a>  
-<a class="jxr_linenumber" name="L23" href="#L23">23</a>  
-<a class="jxr_linenumber" name="L24" href="#L24">24</a>  <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L25" href="#L25">25</a>  <em class="jxr_javadoccomment"> * A mid point strategy based on the average of begin and end indices.</em>
-<a class="jxr_linenumber" name="L26" href="#L26">26</a>  <em class="jxr_javadoccomment"> * @since 3.4</em>
-<a class="jxr_linenumber" name="L27" href="#L27">27</a>  <em class="jxr_javadoccomment"> */</em>
-<a class="jxr_linenumber" name="L28" href="#L28">28</a>  <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">class</strong> <a href="../../../../../org/apache/commons/math3/util/CentralPivotingStrategy.html">CentralPivotingStrategy</a> <strong class="jxr_keyword">implements</strong> PivotingStrategyInterface, Serializable {
-<a class="jxr_linenumber" name="L29" href="#L29">29</a>  
-<a class="jxr_linenumber" name="L30" href="#L30">30</a>      <em class="jxr_javadoccomment">/** Serializable UID. */</em>
-<a class="jxr_linenumber" name="L31" href="#L31">31</a>      <strong class="jxr_keyword">private</strong> <strong class="jxr_keyword">static</strong> <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">long</strong> serialVersionUID = 20140713L;
-<a class="jxr_linenumber" name="L32" href="#L32">32</a>  
-<a class="jxr_linenumber" name="L33" href="#L33">33</a>      <em class="jxr_javadoccomment">/**</em>
-<a class="jxr_linenumber" name="L34" href="#L34">34</a>  <em class="jxr_javadoccomment">     * {@inheritDoc}</em>
-<a class="jxr_linenumber" name="L35" href="#L35">35</a>  <em class="jxr_javadoccomment">     * This in particular picks a average of begin and end indices</em>
-<a class="jxr_linenumber" name="L36" href="#L36">36</a>  <em class="jxr_javadoccomment">     * @return The index corresponding to a simple average of</em>
-<a class="jxr_linenumber" name="L37" href="#L37">37</a>  <em class="jxr_javadoccomment">     * the first and the last element indices of the array slice</em>
-<a class="jxr_linenumber" name="L38" href="#L38">38</a>  <em class="jxr_javadoccomment">     * @throws MathIllegalArgumentException when indices exceeds range</em>
-<a class="jxr_linenumber" name="L39" href="#L39">39</a>  <em class="jxr_javadoccomment">     */</em>
-<a class="jxr_linenumber" name="L40" href="#L40">40</a>      <strong class="jxr_keyword">public</strong> <strong class="jxr_keyword">int</strong> pivotIndex(<strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">double</strong>[] work, <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> begin, <strong class="jxr_keyword">final</strong> <strong class="jxr_keyword">int</strong> end)
-<a class="jxr_linenumber" name="L41" href="#L41">41</a>          <strong class="jxr_keyword">throws</strong> <a href="../../../../../org/apache/commons/math3/exception/MathIllegalArgumentException.html">MathIllegalArgumentException</a> {
-<a class="jxr_linenumber" name="L42" href="#L42">42</a>          MathArrays.verifyValues(work, begin, end-begin);
-<a class="jxr_linenumber" name="L43" href="#L43">43</a>          <strong class="jxr_keyword">return</strong> begin + (end - begin)/2;
-<a class="jxr_linenumber" name="L44" href="#L44">44</a>      }
-<a class="jxr_linenumber" name="L45" href="#L45">45</a>  
-<a class="jxr_linenumber" name="L46" href="#L46">46</a>  }
-</pre>
-<hr/>
-<div id="footer">Copyright &#169; 2003&#x2013;2016 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</div>
-</body>
-</html>

http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/05742e5e14206d95c2a1b97a7e2df86055cbfdb3.svn-base
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http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/057a9e28997b330167a2f86a894b7593cb094052.svn-base
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-        
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-        
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-            or <a class="externalLink" href="http://issues.apache.org/jira/secure/CreateIssueDetails!init.jspa?pid=12310485&amp;issuetype=4&amp;priority=4&amp;assignee=-1">enhancement request</a>.</li>
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-<div class="header">
-<div class="subTitle">org.apache.commons.math3.stat.descriptive.rank</div>
-<h2 title="Enum Percentile.EstimationType" class="title">Enum Percentile.EstimationType</h2>
-</div>
-<div class="contentContainer">
-<ul class="inheritance">
-<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
-<li>
-<ul class="inheritance">
-<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true" title="class or interface in java.lang">java.lang.Enum</a>&lt;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>&gt;</li>
-<li>
-<ul class="inheritance">
-<li>org.apache.commons.math3.stat.descriptive.rank.Percentile.EstimationType</li>
-</ul>
-</li>
-</ul>
-</li>
-</ul>
-<div class="description">
-<ul class="blockList">
-<li class="blockList">
-<dl>
-<dt>All Implemented Interfaces:</dt>
-<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Comparable.html?is-external=true" title="class or interface in java.lang">Comparable</a>&lt;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>&gt;</dd>
-</dl>
-<dl>
-<dt>Enclosing class:</dt>
-<dd><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank">Percentile</a></dd>
-</dl>
-<hr>
-<br>
-<pre>public static enum <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.html#line.713">Percentile.EstimationType</a>
-extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true" title="class or interface in java.lang">Enum</a>&lt;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>&gt;</pre>
-<div class="block">An enum for various estimation strategies of a percentile referred in
- <a href="http://en.wikipedia.org/wiki/Quantile">wikipedia on quantile</a>
- with the names of enum matching those of types mentioned in
- wikipedia.
- <p>
- Each enum corresponding to the specific type of estimation in wikipedia
- implements  the respective formulae that specializes in the below aspects
- <ul>
- <li>An <b>index method</b> to calculate approximate index of the
- estimate</li>
- <li>An <b>estimate method</b> to estimate a value found at the earlier
- computed index</li>
- <li>A <b> minLimit</b> on the quantile for which first element of sorted
- input is returned as an estimate </li>
- <li>A <b> maxLimit</b> on the quantile for which last element of sorted
- input is returned as an estimate </li>
- </ul>
- <p>
- Users can now create <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank"><code>Percentile</code></a> by explicitly passing this enum;
- such as by invoking <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html#withEstimationType(org.apache.commons.math3.stat.descriptive.rank.Percentile.EstimationType)"><code>Percentile.withEstimationType(EstimationType)</code></a>
- <p>
- References:
- <ol>
- <li>
- <a href="http://en.wikipedia.org/wiki/Quantile">Wikipedia on quantile</a>
- </li>
- <li>
- <a href="https://www.amherst.edu/media/view/129116/.../Sample+Quantiles.pdf">
- Hyndman, R. J. and Fan, Y. (1996) Sample quantiles in statistical
- packages, American Statistician 50, 361–365</a> </li>
- <li>
- <a href="http://stat.ethz.ch/R-manual/R-devel/library/stats/html/quantile.html">
- R-Manual </a></li>
- </ol></div>
-</li>
-</ul>
-</div>
-<div class="summary">
-<ul class="blockList">
-<li class="blockList">
-<!-- =========== ENUM CONSTANT SUMMARY =========== -->
-<ul class="blockList">
-<li class="blockList"><a name="enum_constant_summary">
-<!--   -->
-</a>
-<h3>Enum Constant Summary</h3>
-<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Enum Constant Summary table, listing enum constants, and an explanation">
-<caption><span>Enum Constants</span><span class="tabEnd">&nbsp;</span></caption>
-<tr>
-<th class="colOne" scope="col">Enum Constant and Description</th>
-</tr>
-<tr class="altColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#LEGACY">LEGACY</a></strong></code>
-<div class="block">This is the default type used in the <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank"><code>Percentile</code></a>.This method
- has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index    = (N+1)p\ \\
- &amp;estimate = x_{\lceil h\,-\,1/2 \rceil} \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_1">R_1</a></strong></code>
-<div class="block">The method R_1 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\,  \\
- &amp;estimate= x_{\lceil h\,-\,1/2 \rceil} \\
- &amp;minLimit = 0 \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_2">R_2</a></strong></code>
-<div class="block">The method R_2 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\, \\
- &amp;estimate=\frac{x_{\lceil h\,-\,1/2 \rceil} +
- x_{\lfloor h\,+\,1/2 \rfloor}}{2} \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_3">R_3</a></strong></code>
-<div class="block">The method R_3 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np \\
- &amp;estimate= x_{\lfloor h \rceil}\, \\
- &amp;minLimit = 0.5/N \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_4">R_4</a></strong></code>
-<div class="block">The method R_4 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np\, \\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 1/N \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_5">R_5</a></strong></code>
-<div class="block">The method R_5 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 0.5/N \\
- &amp;maxLimit = (N-0.5)/N
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_6">R_6</a></strong></code>
-<div class="block">The method R_6 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= (N + 1)p \\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 1/(N+1) \\
- &amp;maxLimit = N/(N+1) \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_7">R_7</a></strong></code>
-<div class="block">The method R_7 implements Microsoft Excel style computation has the
- following formulae for index and estimates.<br>
- \( \begin{align}
- &amp;index = (N-1)p + 1 \\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_8">R_8</a></strong></code>
-<div class="block">The method R_8 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index = (N + 1/3)p + 1/3  \\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
-           \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = (2/3)/(N+1/3) \\
- &amp;maxLimit = (N-1/3)/(N+1/3) \\
- \end{align}\)</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colOne"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#R_9">R_9</a></strong></code>
-<div class="block">The method R_9 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index = (N + 1/4)p + 3/8\\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
-           \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = (5/8)/(N+1/4) \\
- &amp;maxLimit = (N-3/8)/(N+1/4) \\
- \end{align}\)</div>
-</td>
-</tr>
-</table>
-</li>
-</ul>
-<!-- ========== METHOD SUMMARY =========== -->
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-<!--   -->
-</a>
-<h3>Method Summary</h3>
-<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
-<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
-<tr>
-<th class="colFirst" scope="col">Modifier and Type</th>
-<th class="colLast" scope="col">Method and Description</th>
-</tr>
-<tr class="altColor">
-<td class="colFirst"><code>protected double</code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)">estimate</a></strong>(double[]&nbsp;work,
-                int[]&nbsp;pivotsHeap,
-                double&nbsp;pos,
-                int&nbsp;length,
-                <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</code>
-<div class="block">Estimation based on K<sup>th</sup> selection.</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colFirst"><code>double</code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#evaluate(double[],%20double,%20org.apache.commons.math3.util.KthSelector)">evaluate</a></strong>(double[]&nbsp;work,
-                double&nbsp;p,
-                <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</code>
-<div class="block">Evaluate method to compute the percentile for a given bounded array.</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colFirst"><code>protected double</code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#evaluate(double[],%20int[],%20double,%20org.apache.commons.math3.util.KthSelector)">evaluate</a></strong>(double[]&nbsp;work,
-                int[]&nbsp;pivotsHeap,
-                double&nbsp;p,
-                <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</code>
-<div class="block">Evaluate method to compute the percentile for a given bounded array
- using earlier computed pivots heap.<br>
- This basically calls the <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#index(double,%20int)"><code>index</code></a> and then
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)"><code>estimate</code></a>
- functions to return the estimated percentile value.</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colFirst"><code>protected abstract double</code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#index(double,%20int)">index</a></strong>(double&nbsp;p,
-          int&nbsp;length)</code>
-<div class="block">Finds the index of array that can be used as starting index to
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)"><code>estimate</code></a>
- percentile.</div>
-</td>
-</tr>
-<tr class="altColor">
-<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a></code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#valueOf(java.lang.String)">valueOf</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name)</code>
-<div class="block">Returns the enum constant of this type with the specified name.</div>
-</td>
-</tr>
-<tr class="rowColor">
-<td class="colFirst"><code>static <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>[]</code></td>
-<td class="colLast"><code><strong><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#values()">values</a></strong>()</code>
-<div class="block">Returns an array containing the constants of this enum type, in
-the order they are declared.</div>
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-<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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-<h3>Enum Constant Detail</h3>
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-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.724">LEGACY</a></pre>
-<div class="block">This is the default type used in the <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank"><code>Percentile</code></a>.This method
- has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index    = (N+1)p\ \\
- &amp;estimate = x_{\lceil h\,-\,1/2 \rceil} \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</li>
-</ul>
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-<!--   -->
-</a>
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-<h4>R_1</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.746">R_1</a></pre>
-<div class="block">The method R_1 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\,  \\
- &amp;estimate= x_{\lceil h\,-\,1/2 \rceil} \\
- &amp;minLimit = 0 \\
- \end{align}\)</div>
-</li>
-</ul>
-<a name="R_2">
-<!--   -->
-</a>
-<ul class="blockList">
-<li class="blockList">
-<h4>R_2</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.775">R_2</a></pre>
-<div class="block">The method R_2 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\, \\
- &amp;estimate=\frac{x_{\lceil h\,-\,1/2 \rceil} +
- x_{\lfloor h\,+\,1/2 \rfloor}}{2} \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</li>
-</ul>
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-<h4>R_3</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.809">R_3</a></pre>
-<div class="block">The method R_3 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np \\
- &amp;estimate= x_{\lfloor h \rceil}\, \\
- &amp;minLimit = 0.5/N \\
- \end{align}\)</div>
-</li>
-</ul>
-<a name="R_4">
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-</a>
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-<h4>R_4</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.829">R_4</a></pre>
-<div class="block">The method R_4 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np\, \\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 1/N \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</li>
-</ul>
-<a name="R_5">
-<!--   -->
-</a>
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-<h4>R_5</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.850">R_5</a></pre>
-<div class="block">The method R_5 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= Np + 1/2\\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 0.5/N \\
- &amp;maxLimit = (N-0.5)/N
- \end{align}\)</div>
-</li>
-</ul>
-<a name="R_6">
-<!--   -->
-</a>
-<ul class="blockList">
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-<h4>R_6</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.878">R_6</a></pre>
-<div class="block">The method R_6 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index= (N + 1)p \\
- &amp;estimate= x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 1/(N+1) \\
- &amp;maxLimit = N/(N+1) \\
- \end{align}\)
- <p>
- <b>Note:</b> This method computes the index in a manner very close to
- the default Commons Math Percentile existing implementation. However
- the difference to be noted is in picking up the limits with which
- first element (p&lt;1(N+1)) and last elements (p&gt;N/(N+1))are done.
- While in default case; these are done with p=0 and p=1 respectively.</div>
-</li>
-</ul>
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-<li class="blockList">
-<h4>R_7</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.902">R_7</a></pre>
-<div class="block">The method R_7 implements Microsoft Excel style computation has the
- following formulae for index and estimates.<br>
- \( \begin{align}
- &amp;index = (N-1)p + 1 \\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
- \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = 0 \\
- &amp;maxLimit = 1 \\
- \end{align}\)</div>
-</li>
-</ul>
-<a name="R_8">
-<!--   -->
-</a>
-<ul class="blockList">
-<li class="blockList">
-<h4>R_8</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.928">R_8</a></pre>
-<div class="block">The method R_8 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index = (N + 1/3)p + 1/3  \\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
-           \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = (2/3)/(N+1/3) \\
- &amp;maxLimit = (N-1/3)/(N+1/3) \\
- \end{align}\)
- <p>
- As per Ref [2,3] this approach is most recommended as it provides
- an approximate median-unbiased estimate regardless of distribution.</div>
-</li>
-</ul>
-<a name="R_9">
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-</a>
-<ul class="blockListLast">
-<li class="blockList">
-<h4>R_9</h4>
-<pre>public static final&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a> <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.951">R_9</a></pre>
-<div class="block">The method R_9 has the following formulae for index and estimates<br>
- \( \begin{align}
- &amp;index = (N + 1/4)p + 3/8\\
- &amp;estimate = x_{\lfloor h \rfloor} + (h -
-           \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h
- \rfloor}) \\
- &amp;minLimit = (5/8)/(N+1/4) \\
- &amp;maxLimit = (N-3/8)/(N+1/4) \\
- \end{align}\)</div>
-</li>
-</ul>
-</li>
-</ul>
-<!-- ============ METHOD DETAIL ========== -->
-<ul class="blockList">
-<li class="blockList"><a name="method_detail">
-<!--   -->
-</a>
-<h3>Method Detail</h3>
-<a name="values()">
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-<h4>values</h4>
-<pre>public static&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>[]&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.713">values</a>()</pre>
-<div class="block">Returns an array containing the constants of this enum type, in
-the order they are declared.  This method may be used to iterate
-over the constants as follows:
-<pre>
-for (Percentile.EstimationType c : Percentile.EstimationType.values())
-&nbsp;   System.out.println(c);
-</pre></div>
-<dl><dt><span class="strong">Returns:</span></dt><dd>an array containing the constants of this enum type, in the order they are declared</dd></dl>
-</li>
-</ul>
-<a name="valueOf(java.lang.String)">
-<!--   -->
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-<h4>valueOf</h4>
-<pre>public static&nbsp;<a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank">Percentile.EstimationType</a>&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.713">valueOf</a>(<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/String.html?is-external=true" title="class or interface in java.lang">String</a>&nbsp;name)</pre>
-<div class="block">Returns the enum constant of this type with the specified name.
-The string must match <i>exactly</i> an identifier used to declare an
-enum constant in this type.  (Extraneous whitespace characters are 
-not permitted.)</div>
-<dl><dt><span class="strong">Parameters:</span></dt><dd><code>name</code> - the name of the enum constant to be returned.</dd>
-<dt><span class="strong">Returns:</span></dt><dd>the enum constant with the specified name</dd>
-<dt><span class="strong">Throws:</span></dt>
-<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - if this enum type has no constant with the specified name</dd>
-<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/NullPointerException.html?is-external=true" title="class or interface in java.lang">NullPointerException</a></code> - if the argument is null</dd></dl>
-</li>
-</ul>
-<a name="index(double, int)">
-<!--   -->
-</a>
-<ul class="blockList">
-<li class="blockList">
-<h4>index</h4>
-<pre>protected abstract&nbsp;double&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.986">index</a>(double&nbsp;p,
-           int&nbsp;length)</pre>
-<div class="block">Finds the index of array that can be used as starting index to
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)"><code>estimate</code></a>
- percentile. The calculation of index calculation is specific to each
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" title="enum in org.apache.commons.math3.stat.descriptive.rank"><code>Percentile.EstimationType</code></a>.</div>
-<dl><dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - the p<sup>th</sup> quantile</dd><dd><code>length</code> - the total number of array elements in the work array</dd>
-<dt><span class="strong">Returns:</span></dt><dd>a computed real valued index as explained in the wikipedia</dd></dl>
-</li>
-</ul>
-<a name="estimate(double[], int[], double, int, org.apache.commons.math3.util.KthSelector)">
-<!--   -->
-</a>
-<ul class="blockList">
-<li class="blockList">
-<h4>estimate</h4>
-<pre>protected&nbsp;double&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1000">estimate</a>(double[]&nbsp;work,
-              int[]&nbsp;pivotsHeap,
-              double&nbsp;pos,
-              int&nbsp;length,
-              <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</pre>
-<div class="block">Estimation based on K<sup>th</sup> selection. This may be overridden
- in specific enums to compute slightly different estimations.</div>
-<dl><dt><span class="strong">Parameters:</span></dt><dd><code>work</code> - array of numbers to be used for finding the percentile</dd><dd><code>pos</code> - indicated positional index prior computed from calling
-            <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#index(double,%20int)"><code>index(double, int)</code></a></dd><dd><code>pivotsHeap</code> - an earlier populated cache if exists; will be used</dd><dd><code>length</code> - size of array considered</dd><dd><code>selector</code> - a <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util"><code>KthSelector</code></a> used for pivoting during search</dd>
-<dt><span class="strong">Returns:</span></dt><dd>estimated percentile</dd></dl>
-</li>
-</ul>
-<a name="evaluate(double[], int[], double, org.apache.commons.math3.util.KthSelector)">
-<!--   -->
-</a>
-<ul class="blockList">
-<li class="blockList">
-<h4>evaluate</h4>
-<pre>protected&nbsp;double&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1035">evaluate</a>(double[]&nbsp;work,
-              int[]&nbsp;pivotsHeap,
-              double&nbsp;p,
-              <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</pre>
-<div class="block">Evaluate method to compute the percentile for a given bounded array
- using earlier computed pivots heap.<br>
- This basically calls the <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#index(double,%20int)"><code>index</code></a> and then
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)"><code>estimate</code></a>
- functions to return the estimated percentile value.</div>
-<dl><dt><span class="strong">Parameters:</span></dt><dd><code>work</code> - array of numbers to be used for finding the percentile</dd><dd><code>pivotsHeap</code> - a prior cached heap which can speed up estimation</dd><dd><code>p</code> - the p<sup>th</sup> quantile to be computed</dd><dd><code>selector</code> - a <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util"><code>KthSelector</code></a> used for pivoting during search</dd>
-<dt><span class="strong">Returns:</span></dt><dd>estimated percentile</dd>
-<dt><span class="strong">Throws:</span></dt>
-<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if p is out of range</dd>
-<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if work array is null</dd></dl>
-</li>
-</ul>
-<a name="evaluate(double[], double, org.apache.commons.math3.util.KthSelector)">
-<!--   -->
-</a>
-<ul class="blockListLast">
-<li class="blockList">
-<h4>evaluate</h4>
-<pre>public&nbsp;double&nbsp;<a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1059">evaluate</a>(double[]&nbsp;work,
-              double&nbsp;p,
-              <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a>&nbsp;selector)</pre>
-<div class="block">Evaluate method to compute the percentile for a given bounded array.
- This basically calls the <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#index(double,%20int)"><code>index</code></a> and then
- <a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#estimate(double[],%20int[],%20double,%20int,%20org.apache.commons.math3.util.KthSelector)"><code>estimate</code></a>
- functions to return the estimated percentile value. Please
- note that this method does not make use of cached pivots.</div>
-<dl><dt><span class="strong">Parameters:</span></dt><dd><code>work</code> - array of numbers to be used for finding the percentile</dd><dd><code>p</code> - the p<sup>th</sup> quantile to be computed</dd><dd><code>selector</code> - a <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util"><code>KthSelector</code></a> used for pivoting during search</dd>
-<dt><span class="strong">Returns:</span></dt><dd>estimated percentile</dd>
-<dt><span class="strong">Throws:</span></dt>
-<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code> - if length or p is out of range</dd>
-<dd><code><a href="../../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code> - if work array is null</dd></dl>
-</li>
-</ul>
-</li>
-</ul>
-</li>
-</ul>
-</div>
-</div>
-<!-- ========= END OF CLASS DATA ========= -->
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