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http://git-wip-us.apache.org/repos/asf/commons-complex/blob/b3576eeb/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base ---------------------------------------------------------------------- diff --git a/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base b/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base deleted file mode 100644 index 6dadf27..0000000 --- a/site-content/.svn/pristine/05/0567d89002edc2c4db5434c27fc17116519b37ce.svn-base +++ /dev/null @@ -1,59 +0,0 @@ -<!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 © 2003–2016 <a href="http://www.apache.org/";>The Apache Software Foundation</a>. 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<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, 361â365</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"> </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> - \( \begin{align} - &index = (N+1)p\ \\ - &estimate = x_{\lceil h\,-\,1/2 \rceil} \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</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> - \( \begin{align} - &index= Np + 1/2\, \\ - &estimate= x_{\lceil h\,-\,1/2 \rceil} \\ - &minLimit = 0 \\ - \end{align}\)</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> - \( \begin{align} - &index= Np + 1/2\, \\ - &estimate=\frac{x_{\lceil h\,-\,1/2 \rceil} + - x_{\lfloor h\,+\,1/2 \rfloor}}{2} \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</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> - \( \begin{align} - &index= Np \\ - &estimate= x_{\lfloor h \rceil}\, \\ - &minLimit = 0.5/N \\ - \end{align}\)</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> - \( \begin{align} - &index= Np\, \\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 1/N \\ - &maxLimit = 1 \\ - \end{align}\)</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> - \( \begin{align} - &index= Np + 1/2\\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 0.5/N \\ - &maxLimit = (N-0.5)/N - \end{align}\)</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> - \( \begin{align} - &index= (N + 1)p \\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 1/(N+1) \\ - &maxLimit = N/(N+1) \\ - \end{align}\)</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> - \( \begin{align} - &index = (N-1)p + 1 \\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</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> - \( \begin{align} - &index = (N + 1/3)p + 1/3 \\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = (2/3)/(N+1/3) \\ - &maxLimit = (N-1/3)/(N+1/3) \\ - \end{align}\)</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> - \( \begin{align} - &index = (N + 1/4)p + 3/8\\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = (5/8)/(N+1/4) \\ - &maxLimit = (N-3/8)/(N+1/4) \\ - \end{align}\)</div> -</td> -</tr> -</table> -</li> -</ul> -<!-- ========== METHOD SUMMARY =========== --> -<ul class="blockList"> -<li class="blockList"><a name="method_summary"> -<!-- --> -</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"> </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[] work, - int[] pivotsHeap, - double pos, - int length, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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[] work, - double p, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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[] work, - int[] pivotsHeap, - double p, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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 p, - int 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> 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> -</td> -</tr> -</table> -<ul class="blockList"> -<li class="blockList"><a name="methods_inherited_from_class_java.lang.Enum"> -<!-- --> -</a> -<h3>Methods inherited from class java.lang.<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></h3> -<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#compareTo(E)" title="class or interface in java.lang">compareTo</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#getDeclaringClass()" title="class or interface in java.lang">getDeclaringClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/ api/java/lang/Enum.html?is-external=true#name()" title="class or interface in java.lang">name</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#ordinal()" title="class or interface in java.lang">ordinal</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Enum.html?is-external=true#valueOf(java.lang.Class,%20java.lang.String)" title="class or interface in java.lang">valueOf</a></code></li> -</ul> -<ul class="blockList"> -<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object"> -<!-- --> -</a> -<h3>Methods inherited from class java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true"; title="class or interface in java.lang">Object</a></h3> -<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> -</ul> -</li> -</ul> -</li> -</ul> -</div> -<div class="details"> -<ul class="blockList"> -<li class="blockList"> -<!-- ============ ENUM CONSTANT DETAIL =========== --> -<ul class="blockList"> -<li class="blockList"><a name="enum_constant_detail"> -<!-- --> -</a> -<h3>Enum Constant Detail</h3> -<a name="LEGACY"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>LEGACY</h4> -<pre>public static final <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> - \( \begin{align} - &index = (N+1)p\ \\ - &estimate = x_{\lceil h\,-\,1/2 \rceil} \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_1"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_1</h4> -<pre>public static final <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> - \( \begin{align} - &index= Np + 1/2\, \\ - &estimate= x_{\lceil h\,-\,1/2 \rceil} \\ - &minLimit = 0 \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_2"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_2</h4> -<pre>public static final <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> - \( \begin{align} - &index= Np + 1/2\, \\ - &estimate=\frac{x_{\lceil h\,-\,1/2 \rceil} + - x_{\lfloor h\,+\,1/2 \rfloor}}{2} \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_3"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_3</h4> -<pre>public static final <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> - \( \begin{align} - &index= Np \\ - &estimate= x_{\lfloor h \rceil}\, \\ - &minLimit = 0.5/N \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_4"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_4</h4> -<pre>public static final <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> - \( \begin{align} - &index= Np\, \\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 1/N \\ - &maxLimit = 1 \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_5"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_5</h4> -<pre>public static final <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> - \( \begin{align} - &index= Np + 1/2\\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 0.5/N \\ - &maxLimit = (N-0.5)/N - \end{align}\)</div> -</li> -</ul> -<a name="R_6"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_6</h4> -<pre>public static final <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> - \( \begin{align} - &index= (N + 1)p \\ - &estimate= x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 1/(N+1) \\ - &maxLimit = N/(N+1) \\ - \end{align}\) - <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<1(N+1)) and last elements (p>N/(N+1))are done. - While in default case; these are done with p=0 and p=1 respectively.</div> -</li> -</ul> -<a name="R_7"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_7</h4> -<pre>public static final <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> - \( \begin{align} - &index = (N-1)p + 1 \\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = 0 \\ - &maxLimit = 1 \\ - \end{align}\)</div> -</li> -</ul> -<a name="R_8"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>R_8</h4> -<pre>public static final <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> - \( \begin{align} - &index = (N + 1/3)p + 1/3 \\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = (2/3)/(N+1/3) \\ - &maxLimit = (N-1/3)/(N+1/3) \\ - \end{align}\) - <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"> -<!-- --> -</a> -<ul class="blockListLast"> -<li class="blockList"> -<h4>R_9</h4> -<pre>public static final <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> - \( \begin{align} - &index = (N + 1/4)p + 3/8\\ - &estimate = x_{\lfloor h \rfloor} + (h - - \lfloor h \rfloor) (x_{\lfloor h \rfloor + 1} - x_{\lfloor h - \rfloor}) \\ - &minLimit = (5/8)/(N+1/4) \\ - &maxLimit = (N-3/8)/(N+1/4) \\ - \end{align}\)</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()"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>values</h4> -<pre>public 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>[] <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()) - 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)"> -<!-- --> -</a> -<ul class="blockList"> -<li class="blockList"> -<h4>valueOf</h4> -<pre>public 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> <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> 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 double <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.986">index</a>(double p, - int 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 double <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1000">estimate</a>(double[] work, - int[] pivotsHeap, - double pos, - int length, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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 double <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1035">evaluate</a>(double[] work, - int[] pivotsHeap, - double p, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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 double <a href="../../../../../../../src-html/org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html#line.1059">evaluate</a>(double[] work, - double p, - <a href="../../../../../../../org/apache/commons/math3/util/KthSelector.html" title="class in org.apache.commons.math3.util">KthSelector</a> 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 ========= --> -<!-- ======= START OF BOTTOM NAVBAR ====== --> -<div class="bottomNav"><a name="navbar_bottom"> -<!-- --> -</a><a href="#skip-navbar_bottom" title="Skip navigation links"></a><a name="navbar_bottom_firstrow"> -<!-- --> -</a> -<ul class="navList" title="Navigation"> -<li><a href="../../../../../../../overview-summary.html">Overview</a></li> -<li><a href="package-summary.html">Package</a></li> -<li class="navBarCell1Rev">Class</li> -<li><a href="class-use/Percentile.EstimationType.html">Use</a></li> -<li><a href="package-tree.html">Tree</a></li> -<li><a href="../../../../../../../deprecated-list.html">Deprecated</a></li> -<li><a href="../../../../../../../index-all.html">Index</a></li> -<li><a href="../../../../../../../help-doc.html">Help</a></li> -</ul> -<div class="aboutLanguage"><em><script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";></script></em></div> -</div> -<div class="subNav"> -<ul class="navList"> -<li><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/Percentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank"><span class="strong">Prev Class</span></a></li> -<li><a href="../../../../../../../org/apache/commons/math3/stat/descriptive/rank/PSquarePercentile.html" title="class in org.apache.commons.math3.stat.descriptive.rank"><span class="strong">Next Class</span></a></li> -</ul> -<ul class="navList"> -<li><a href="../../../../../../../index.html?org/apache/commons/math3/stat/descriptive/rank/Percentile.EstimationType.html" target="_top">Frames</a></li> -<li><a href="Percentile.EstimationType.html" target="_top">No Frames</a></li> -</ul> -<ul class="navList" id="allclasses_navbar_bottom"> -<li><a href="../../../../../../../allclasses-noframe.html">All Classes</a></li> -</ul> -<div> -<script type="text/javascript"><!-- - allClassesLink = document.getElementById("allclasses_navbar_bottom"); - if(window==top) { - allClassesLink.style.display = "block"; - } - else { - allClassesLink.style.display = "none"; - } - //--> -</script> -</div> -<div> -<ul class="subNavList"> -<li>Summary: </li> -<li>Nested | </li> -<li><a href="#enum_constant_summary">Enum Constants</a> | </li> -<li>Field | </li> -<li><a href="#method_summary">Method</a></li> -</ul> -<ul class="subNavList"> -<li>Detail: </li> -<li><a href="#enum_constant_detail">Enum Constants</a> | </li> -<li>Field | </li> -<li><a href="#method_detail">Method</a></li> -</ul> -</div> -<a name="skip-navbar_bottom"> -<!-- --> -</a></div> -<!-- ======== END OF BOTTOM NAVBAR ======= --> -<p class="legalCopy"><small>Copyright © 2003–2016 <a href="http://www.apache.org/";>The Apache Software Foundation</a>. 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