| <!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> |
| <!-- NewPage --> |
| <html lang="en"> |
| <head> |
| <meta http-equiv="Content-Type" content="text/html" charset="UTF-8"> |
| <title>CauchyDistribution (Apache Commons Math 3.3 API)</title> |
| <link rel="stylesheet" type="text/css" href="../../../../../stylesheet.css" title="Style"> |
| </head> |
| <body> |
| <script type="text/javascript"><!-- |
| if (location.href.indexOf('is-external=true') == -1) { |
| parent.document.title="CauchyDistribution (Apache Commons Math 3.3 API)"; |
| } |
| //--> |
| </script> |
| <noscript> |
| <div>JavaScript is disabled on your browser.</div> |
| </noscript> |
| <!-- ========= START OF TOP NAVBAR ======= --> |
| <div class="topNav"><a name="navbar_top"> |
| <!-- --> |
| </a><a href="#skip-navbar_top" title="Skip navigation links"></a><a name="navbar_top_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/CauchyDistribution.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/distribution/BinomialDistribution.html" title="class in org.apache.commons.math3.distribution"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/distribution/ChiSquaredDistribution.html" title="class in org.apache.commons.math3.distribution"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/commons/math3/distribution/CauchyDistribution.html" target="_top">Frames</a></li> |
| <li><a href="CauchyDistribution.html" target="_top">No Frames</a></li> |
| </ul> |
| <ul class="navList" id="allclasses_navbar_top"> |
| <li><a href="../../../../../allclasses-noframe.html">All Classes</a></li> |
| </ul> |
| <div> |
| <script type="text/javascript"><!-- |
| allClassesLink = document.getElementById("allclasses_navbar_top"); |
| 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="#field_summary">Field</a> | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field_detail">Field</a> | </li> |
| <li><a href="#constructor_detail">Constr</a> | </li> |
| <li><a href="#method_detail">Method</a></li> |
| </ul> |
| </div> |
| <a name="skip-navbar_top"> |
| <!-- --> |
| </a></div> |
| <!-- ========= END OF TOP NAVBAR ========= --> |
| <!-- ======== START OF CLASS DATA ======== --> |
| <div class="header"> |
| <div class="subTitle">org.apache.commons.math3.distribution</div> |
| <h2 title="Class CauchyDistribution" class="title">Class CauchyDistribution</h2> |
| </div> |
| <div class="contentContainer"> |
| <ul class="inheritance"> |
| <li><a href="http://docs.oracle.com/javase/6/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="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">org.apache.commons.math3.distribution.AbstractRealDistribution</a></li> |
| <li> |
| <ul class="inheritance"> |
| <li>org.apache.commons.math3.distribution.CauchyDistribution</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/6/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a></dd> |
| </dl> |
| <hr> |
| <br> |
| <pre>public class <span class="strong">CauchyDistribution</span> |
| extends <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></pre> |
| <div class="block">Implementation of the Cauchy distribution.</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>1.1 (changed to concrete class in 3.0)</dd> |
| <dt><span class="strong">Version:</span></dt> |
| <dd>$Id: CauchyDistribution.java 1519842 2013-09-03 20:38:59Z tn $</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Cauchy_distribution">Cauchy distribution (Wikipedia)</a>, |
| <a href="http://mathworld.wolfram.com/CauchyDistribution.html">Cauchy Distribution (MathWorld)</a>, |
| <a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.CauchyDistribution">Serialized Form</a></dd></dl> |
| </li> |
| </ul> |
| </div> |
| <div class="summary"> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <!-- =========== FIELD SUMMARY =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field_summary"> |
| <!-- --> |
| </a> |
| <h3>Field Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation"> |
| <caption><span>Fields</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colFirst" scope="col">Modifier and Type</th> |
| <th class="colLast" scope="col">Field and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>static double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#DEFAULT_INVERSE_ABSOLUTE_ACCURACY">DEFAULT_INVERSE_ABSOLUTE_ACCURACY</a></strong></code> |
| <div class="block">Default inverse cumulative probability accuracy.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.distribution.AbstractRealDistribution"> |
| <!-- --> |
| </a> |
| <h3>Fields inherited from class org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></h3> |
| <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#random">random</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#randomData">randomData</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#SOLVER_DEFAULT_ABSOLUTE_ACCURACY">SOLVER_DEFAULT_ABSOLUTE_ACCURACY</a></code></li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ======== CONSTRUCTOR SUMMARY ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_summary"> |
| <!-- --> |
| </a> |
| <h3>Constructor Summary</h3> |
| <table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation"> |
| <caption><span>Constructors</span><span class="tabEnd"> </span></caption> |
| <tr> |
| <th class="colOne" scope="col">Constructor and Description</th> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#CauchyDistribution()">CauchyDistribution</a></strong>()</code> |
| <div class="block">Creates a Cauchy distribution with the median equal to zero and scale |
| equal to one.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#CauchyDistribution(double, double)">CauchyDistribution</a></strong>(double median, |
| double scale)</code> |
| <div class="block">Creates a Cauchy distribution using the given median and scale.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#CauchyDistribution(double, double, double)">CauchyDistribution</a></strong>(double median, |
| double scale, |
| double inverseCumAccuracy)</code> |
| <div class="block">Creates a Cauchy distribution using the given median and scale.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#CauchyDistribution(org.apache.commons.math3.random.RandomGenerator, double, double)">CauchyDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, |
| double median, |
| double scale)</code> |
| <div class="block">Creates a Cauchy distribution.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#CauchyDistribution(org.apache.commons.math3.random.RandomGenerator, double, double, double)">CauchyDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, |
| double median, |
| double scale, |
| double inverseCumAccuracy)</code> |
| <div class="block">Creates a Cauchy distribution.</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>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#cumulativeProbability(double)">cumulativeProbability</a></strong>(double x)</code> |
| <div class="block">For a random variable <code>X</code> whose values are distributed according |
| to this distribution, this method returns <code>P(X <= x)</code>.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#density(double)">density</a></strong>(double x)</code> |
| <div class="block">Returns the probability density function (PDF) of this distribution |
| evaluated at the specified point <code>x</code>.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getMedian()">getMedian</a></strong>()</code> |
| <div class="block">Access the median.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getNumericalMean()">getNumericalMean</a></strong>()</code> |
| <div class="block">Use this method to get the numerical value of the mean of this |
| distribution.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getNumericalVariance()">getNumericalVariance</a></strong>()</code> |
| <div class="block">Use this method to get the numerical value of the variance of this |
| distribution.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getScale()">getScale</a></strong>()</code> |
| <div class="block">Access the scale parameter.</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/distribution/CauchyDistribution.html#getSolverAbsoluteAccuracy()">getSolverAbsoluteAccuracy</a></strong>()</code> |
| <div class="block">Returns the solver absolute accuracy for inverse cumulative computation.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getSupportLowerBound()">getSupportLowerBound</a></strong>()</code> |
| <div class="block">Access the lower bound of the support.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#getSupportUpperBound()">getSupportUpperBound</a></strong>()</code> |
| <div class="block">Access the upper bound of the support.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>double</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></strong>(double p)</code> |
| <div class="block">Computes the quantile function of this distribution.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#isSupportConnected()">isSupportConnected</a></strong>()</code> |
| <div class="block">Use this method to get information about whether the support is connected, |
| i.e.</div> |
| </td> |
| </tr> |
| <tr class="rowColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#isSupportLowerBoundInclusive()">isSupportLowerBoundInclusive</a></strong>()</code> |
| <div class="block">Whether or not the lower bound of support is in the domain of the density |
| function.</div> |
| </td> |
| </tr> |
| <tr class="altColor"> |
| <td class="colFirst"><code>boolean</code></td> |
| <td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#isSupportUpperBoundInclusive()">isSupportUpperBoundInclusive</a></strong>()</code> |
| <div class="block">Whether or not the upper bound of support is in the domain of the density |
| function.</div> |
| </td> |
| </tr> |
| </table> |
| <ul class="blockList"> |
| <li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.distribution.AbstractRealDistribution"> |
| <!-- --> |
| </a> |
| <h3>Methods inherited from class org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></h3> |
| <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#cumulativeProbability(double, double)">cumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#logDensity(double)">logDensity</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#probability(double)">probability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#probability(double, double)">probability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#reseedRandomGenerator(long)">reseedRandomGenerator</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#sample()">sample</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#sample(int)">sample</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/6/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/6/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/6/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/6/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/6/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/6/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/6/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/6/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/6/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/6/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/6/docs/api/java/lang/Object.html?is-external=true#wait(long, int)" 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"> |
| <!-- ============ FIELD DETAIL =========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="field_detail"> |
| <!-- --> |
| </a> |
| <h3>Field Detail</h3> |
| <a name="DEFAULT_INVERSE_ABSOLUTE_ACCURACY"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>DEFAULT_INVERSE_ABSOLUTE_ACCURACY</h4> |
| <pre>public static final double DEFAULT_INVERSE_ABSOLUTE_ACCURACY</pre> |
| <div class="block">Default inverse cumulative probability accuracy.</div> |
| <dl><dt><span class="strong">Since:</span></dt> |
| <dd>2.1</dd> |
| <dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../constant-values.html#org.apache.commons.math3.distribution.CauchyDistribution.DEFAULT_INVERSE_ABSOLUTE_ACCURACY">Constant Field Values</a></dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ========= CONSTRUCTOR DETAIL ======== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="constructor_detail"> |
| <!-- --> |
| </a> |
| <h3>Constructor Detail</h3> |
| <a name="CauchyDistribution()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>CauchyDistribution</h4> |
| <pre>public CauchyDistribution()</pre> |
| <div class="block">Creates a Cauchy distribution with the median equal to zero and scale |
| equal to one.</div> |
| </li> |
| </ul> |
| <a name="CauchyDistribution(double, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>CauchyDistribution</h4> |
| <pre>public CauchyDistribution(double median, |
| double scale)</pre> |
| <div class="block">Creates a Cauchy distribution using the given median and scale.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>median</code> - Median for this distribution.</dd><dd><code>scale</code> - Scale parameter for this distribution.</dd></dl> |
| </li> |
| </ul> |
| <a name="CauchyDistribution(double, double, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>CauchyDistribution</h4> |
| <pre>public CauchyDistribution(double median, |
| double scale, |
| double inverseCumAccuracy)</pre> |
| <div class="block">Creates a Cauchy distribution using the given median and scale.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>median</code> - Median for this distribution.</dd><dd><code>scale</code> - Scale parameter for this distribution.</dd><dd><code>inverseCumAccuracy</code> - Maximum absolute error in inverse |
| cumulative probability estimates |
| (defaults to <a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#DEFAULT_INVERSE_ABSOLUTE_ACCURACY"><code>DEFAULT_INVERSE_ABSOLUTE_ACCURACY</code></a>).</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>scale <= 0</code>.</dd><dt><span class="strong">Since:</span></dt> |
| <dd>2.1</dd></dl> |
| </li> |
| </ul> |
| <a name="CauchyDistribution(org.apache.commons.math3.random.RandomGenerator, double, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>CauchyDistribution</h4> |
| <pre>public CauchyDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, |
| double median, |
| double scale)</pre> |
| <div class="block">Creates a Cauchy distribution.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>median</code> - Median for this distribution.</dd><dd><code>scale</code> - Scale parameter for this distribution.</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>scale <= 0</code>.</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.3</dd></dl> |
| </li> |
| </ul> |
| <a name="CauchyDistribution(org.apache.commons.math3.random.RandomGenerator, double, double, double)"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>CauchyDistribution</h4> |
| <pre>public CauchyDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, |
| double median, |
| double scale, |
| double inverseCumAccuracy)</pre> |
| <div class="block">Creates a Cauchy distribution.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>median</code> - Median for this distribution.</dd><dd><code>scale</code> - Scale parameter for this distribution.</dd><dd><code>inverseCumAccuracy</code> - Maximum absolute error in inverse |
| cumulative probability estimates |
| (defaults to <a href="../../../../../org/apache/commons/math3/distribution/CauchyDistribution.html#DEFAULT_INVERSE_ABSOLUTE_ACCURACY"><code>DEFAULT_INVERSE_ABSOLUTE_ACCURACY</code></a>).</dd> |
| <dt><span class="strong">Throws:</span></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>scale <= 0</code>.</dd><dt><span class="strong">Since:</span></dt> |
| <dd>3.1</dd></dl> |
| </li> |
| </ul> |
| </li> |
| </ul> |
| <!-- ============ METHOD DETAIL ========== --> |
| <ul class="blockList"> |
| <li class="blockList"><a name="method_detail"> |
| <!-- --> |
| </a> |
| <h3>Method Detail</h3> |
| <a name="cumulativeProbability(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>cumulativeProbability</h4> |
| <pre>public double cumulativeProbability(double x)</pre> |
| <div class="block">For a random variable <code>X</code> whose values are distributed according |
| to this distribution, this method returns <code>P(X <= x)</code>. In other |
| words, this method represents the (cumulative) distribution function |
| (CDF) for this distribution.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the CDF is evaluated</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the probability that a random variable with this |
| distribution takes a value less than or equal to <code>x</code></dd></dl> |
| </li> |
| </ul> |
| <a name="getMedian()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getMedian</h4> |
| <pre>public double getMedian()</pre> |
| <div class="block">Access the median.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the median for this distribution.</dd></dl> |
| </li> |
| </ul> |
| <a name="getScale()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getScale</h4> |
| <pre>public double getScale()</pre> |
| <div class="block">Access the scale parameter.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>the scale parameter for this distribution.</dd></dl> |
| </li> |
| </ul> |
| <a name="density(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>density</h4> |
| <pre>public double density(double x)</pre> |
| <div class="block">Returns the probability density function (PDF) of this distribution |
| evaluated at the specified point <code>x</code>. In general, the PDF is |
| the derivative of the <a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#cumulativeProbability(double)"><code>CDF</code></a>. |
| If the derivative does not exist at <code>x</code>, then an appropriate |
| replacement should be returned, e.g. <code>Double.POSITIVE_INFINITY</code>, |
| <code>Double.NaN</code>, or the limit inferior or limit superior of the |
| difference quotient.</div> |
| <dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the PDF is evaluated</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the value of the probability density function at point <code>x</code></dd></dl> |
| </li> |
| </ul> |
| <a name="inverseCumulativeProbability(double)"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>inverseCumulativeProbability</h4> |
| <pre>public double inverseCumulativeProbability(double p) |
| throws <a href="../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></pre> |
| <div class="block">Computes the quantile function of this distribution. For a random |
| variable <code>X</code> distributed according to this distribution, the |
| returned value is |
| <ul> |
| <li><code>inf{x in R | P(X<=x) >= p}</code> for <code>0 < p <= 1</code>,</li> |
| <li><code>inf{x in R | P(X<=x) > 0}</code> for <code>p = 0</code>.</li> |
| </ul> |
| |
| The default implementation returns |
| <ul> |
| <li><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#getSupportLowerBound()"><code>RealDistribution.getSupportLowerBound()</code></a> for <code>p = 0</code>,</li> |
| <li><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#getSupportUpperBound()"><code>RealDistribution.getSupportUpperBound()</code></a> for <code>p = 1</code>.</li> |
| </ul> |
| |
| Returns <code>Double.NEGATIVE_INFINITY</code> when <code>p == 0</code> |
| and <code>Double.POSITIVE_INFINITY</code> when <code>p == 1</code>.</div> |
| <dl> |
| <dt><strong>Specified by:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></code> in interface <code><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a></code></dd> |
| <dt><strong>Overrides:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></code> in class <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></code></dd> |
| <dt><span class="strong">Parameters:</span></dt><dd><code>p</code> - the cumulative probability</dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the smallest <code>p</code>-quantile of this distribution |
| (largest 0-quantile for <code>p = 0</code>)</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 <code>p < 0</code> or <code>p > 1</code></dd></dl> |
| </li> |
| </ul> |
| <a name="getSolverAbsoluteAccuracy()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getSolverAbsoluteAccuracy</h4> |
| <pre>protected double getSolverAbsoluteAccuracy()</pre> |
| <div class="block">Returns the solver absolute accuracy for inverse cumulative computation. |
| You can override this method in order to use a Brent solver with an |
| absolute accuracy different from the default.</div> |
| <dl> |
| <dt><strong>Overrides:</strong></dt> |
| <dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#getSolverAbsoluteAccuracy()">getSolverAbsoluteAccuracy</a></code> in class <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></code></dd> |
| <dt><span class="strong">Returns:</span></dt><dd>the maximum absolute error in inverse cumulative probability estimates</dd></dl> |
| </li> |
| </ul> |
| <a name="getNumericalMean()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getNumericalMean</h4> |
| <pre>public double getNumericalMean()</pre> |
| <div class="block">Use this method to get the numerical value of the mean of this |
| distribution. |
| |
| The mean is always undefined no matter the parameters.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>mean (always Double.NaN)</dd></dl> |
| </li> |
| </ul> |
| <a name="getNumericalVariance()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getNumericalVariance</h4> |
| <pre>public double getNumericalVariance()</pre> |
| <div class="block">Use this method to get the numerical value of the variance of this |
| distribution. |
| |
| The variance is always undefined no matter the parameters.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>variance (always Double.NaN)</dd></dl> |
| </li> |
| </ul> |
| <a name="getSupportLowerBound()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getSupportLowerBound</h4> |
| <pre>public double getSupportLowerBound()</pre> |
| <div class="block">Access the lower bound of the support. This method must return the same |
| value as <code>inverseCumulativeProbability(0)</code>. In other words, this |
| method must return |
| <p><code>inf {x in R | P(X <= x) > 0}</code>.</p> |
| |
| The lower bound of the support is always negative infinity no matter |
| the parameters.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support (always Double.NEGATIVE_INFINITY)</dd></dl> |
| </li> |
| </ul> |
| <a name="getSupportUpperBound()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>getSupportUpperBound</h4> |
| <pre>public double getSupportUpperBound()</pre> |
| <div class="block">Access the upper bound of the support. This method must return the same |
| value as <code>inverseCumulativeProbability(1)</code>. In other words, this |
| method must return |
| <p><code>inf {x in R | P(X <= x) = 1}</code>.</p> |
| |
| The upper bound of the support is always positive infinity no matter |
| the parameters.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>upper bound of the support (always Double.POSITIVE_INFINITY)</dd></dl> |
| </li> |
| </ul> |
| <a name="isSupportLowerBoundInclusive()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>isSupportLowerBoundInclusive</h4> |
| <pre>public boolean isSupportLowerBoundInclusive()</pre> |
| <div class="block">Whether or not the lower bound of support is in the domain of the density |
| function. Returns true iff <code>getSupporLowerBound()</code> is finite and |
| <code>density(getSupportLowerBound())</code> returns a non-NaN, non-infinite |
| value.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>true if the lower bound of support is finite and the density |
| function returns a non-NaN, non-infinite value there</dd></dl> |
| </li> |
| </ul> |
| <a name="isSupportUpperBoundInclusive()"> |
| <!-- --> |
| </a> |
| <ul class="blockList"> |
| <li class="blockList"> |
| <h4>isSupportUpperBoundInclusive</h4> |
| <pre>public boolean isSupportUpperBoundInclusive()</pre> |
| <div class="block">Whether or not the upper bound of support is in the domain of the density |
| function. Returns true iff <code>getSupportUpperBound()</code> is finite and |
| <code>density(getSupportUpperBound())</code> returns a non-NaN, non-infinite |
| value.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd>true if the upper bound of support is finite and the density |
| function returns a non-NaN, non-infinite value there</dd></dl> |
| </li> |
| </ul> |
| <a name="isSupportConnected()"> |
| <!-- --> |
| </a> |
| <ul class="blockListLast"> |
| <li class="blockList"> |
| <h4>isSupportConnected</h4> |
| <pre>public boolean isSupportConnected()</pre> |
| <div class="block">Use this method to get information about whether the support is connected, |
| i.e. whether all values between the lower and upper bound of the support |
| are included in the support. |
| |
| The support of this distribution is connected.</div> |
| <dl><dt><span class="strong">Returns:</span></dt><dd><code>true</code></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/CauchyDistribution.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/distribution/BinomialDistribution.html" title="class in org.apache.commons.math3.distribution"><span class="strong">Prev Class</span></a></li> |
| <li><a href="../../../../../org/apache/commons/math3/distribution/ChiSquaredDistribution.html" title="class in org.apache.commons.math3.distribution"><span class="strong">Next Class</span></a></li> |
| </ul> |
| <ul class="navList"> |
| <li><a href="../../../../../index.html?org/apache/commons/math3/distribution/CauchyDistribution.html" target="_top">Frames</a></li> |
| <li><a href="CauchyDistribution.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="#field_summary">Field</a> | </li> |
| <li><a href="#constructor_summary">Constr</a> | </li> |
| <li><a href="#method_summary">Method</a></li> |
| </ul> |
| <ul class="subNavList"> |
| <li>Detail: </li> |
| <li><a href="#field_detail">Field</a> | </li> |
| <li><a href="#constructor_detail">Constr</a> | </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 © 2003–2014 <a href="http://www.apache.org/">The Apache Software Foundation</a>. All rights reserved.</small></p> |
| </body> |
| </html> |
