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LogisticDistribution" class="title">Class LogisticDistribution</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.LogisticDistribution</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.35">LogisticDistribution</a> +extends <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></pre> +<div class="block">This class implements the Logistic distribution.</div> +<dl><dt><span class="strong">Since:</span></dt> + <dd>3.4</dd> +<dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Logistic_distribution">Logistic Distribution (Wikipedia)</a>, +<a href="http://mathworld.wolfram.com/LogisticDistribution.html">Logistic Distribution (Mathworld)</a>, +<a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.LogisticDistribution">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> +<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/LogisticDistribution.html#LogisticDistribution(double,%20double)">LogisticDistribution</a></strong>(double mu, + double s)</code> +<div class="block">Build a new instance.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogisticDistribution.html#LogisticDistribution(org.apache.commons.math3.random.RandomGenerator,%20double,%20double)">LogisticDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double mu, + double s)</code> +<div class="block">Build a new instance.</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/LogisticDistribution.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/LogisticDistribution.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/LogisticDistribution.html#getLocation()">getLocation</a></strong>()</code> +<div class="block">Access the location parameter, <code>mu</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/LogisticDistribution.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/LogisticDistribution.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/LogisticDistribution.html#getScale()">getScale</a></strong>()</code> +<div class="block">Access the scale parameter, <code>s</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/LogisticDistribution.html#getSupportLowerBound()">getSupportLowerBound</a></strong>()</code> +<div class="block">Access the lower 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/LogisticDistribution.html#getSupportUpperBound()">getSupportUpperBound</a></strong>()</code> +<div class="block">Access the upper 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/LogisticDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a></strong>(double p)</code> +<div class="block">Computes the quantile function of this distribution.</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/LogisticDistribution.html#isSupportConnected()">isSupportConnected</a></strong>()</code> +<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.</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/LogisticDistribution.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="rowColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogisticDistribution.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,%20double)">cumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#getSolverAbsoluteAccuracy()">getSolverAbsoluteAccuracy</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 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class="blockList"> +<h4>LogisticDistribution</h4> +<pre>public <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.52">LogisticDistribution</a>(double mu, + double s)</pre> +<div class="block">Build a new instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>mu</code> - location parameter</dd><dd><code>s</code> - scale parameter (must be positive)</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>beta <= 0</code></dd></dl> +</li> +</ul> +<a name="LogisticDistribution(org.apache.commons.math3.random.RandomGenerator, double, double)"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>LogisticDistribution</h4> +<pre>public <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.64">LogisticDistribution</a>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double mu, + double s)</pre> +<div class="block">Build a new instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator</dd><dd><code>mu</code> - location parameter</dd><dd><code>s</code> - scale parameter (must be positive)</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>beta <= 0</code></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="getLocation()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getLocation</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.80">getLocation</a>()</pre> +<div class="block">Access the location parameter, <code>mu</code>.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the location parameter.</dd></dl> +</li> +</ul> +<a name="getScale()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getScale</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.89">getScale</a>()</pre> +<div class="block">Access the scale parameter, <code>s</code>.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the scale parameter.</dd></dl> +</li> +</ul> +<a name="density(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>density</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.94">density</a>(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="cumulativeProbability(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>cumulativeProbability</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.101">cumulativeProbability</a>(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="inverseCumulativeProbability(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>inverseCumulativeProbability</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.107">inverseCumulativeProbability</a>(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"><strong>Description copied from class: <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#inverseCumulativeProbability(double)">AbstractRealDistribution</a></code></strong></div> +<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></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="getNumericalMean()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getNumericalMean</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.119">getNumericalMean</a>()</pre> +<div class="block">Use this method to get the numerical value of the mean of this + distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the mean or <code>Double.NaN</code> if it is not defined</dd></dl> +</li> +</ul> +<a name="getNumericalVariance()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getNumericalVariance</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.124">getNumericalVariance</a>()</pre> +<div class="block">Use this method to get the numerical value of the variance of this + distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the variance (possibly <code>Double.POSITIVE_INFINITY</code> as + for certain cases in <a href="../../../../../org/apache/commons/math3/distribution/TDistribution.html" title="class in org.apache.commons.math3.distribution"><code>TDistribution</code></a>) or <code>Double.NaN</code> if it + is not defined</dd></dl> +</li> +</ul> +<a name="getSupportLowerBound()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getSupportLowerBound</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.129">getSupportLowerBound</a>()</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></div> +<dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support (might be + <code>Double.NEGATIVE_INFINITY</code>)</dd></dl> +</li> +</ul> +<a name="getSupportUpperBound()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getSupportUpperBound</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.134">getSupportUpperBound</a>()</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></div> +<dl><dt><span class="strong">Returns:</span></dt><dd>upper bound of the support (might be + <code>Double.POSITIVE_INFINITY</code>)</dd></dl> +</li> +</ul> +<a name="isSupportLowerBoundInclusive()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>isSupportLowerBoundInclusive</h4> +<pre>public boolean <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.139">isSupportLowerBoundInclusive</a>()</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.144">isSupportUpperBoundInclusive</a>()</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/LogisticDistribution.html#line.149">isSupportConnected</a>()</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.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>whether the support is connected or not</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/LogisticDistribution.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/LevyDistribution.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/LogNormalDistribution.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/LogisticDistribution.html" target="_top">Frames</a></li> +<li><a href="LogisticDistribution.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="#fields_inherited_from_class_org.apache.commons.math3.distribution.AbstractRealDistribution">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>Field | </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>. 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+<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 NakagamiDistribution" class="title">Class NakagamiDistribution</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.NakagamiDistribution</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.34">NakagamiDistribution</a> +extends <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractRealDistribution</a></pre> +<div class="block">This class implements the Nakagami distribution.</div> +<dl><dt><span class="strong">Since:</span></dt> + <dd>3.4</dd> +<dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Nakagami_distribution">Nakagami Distribution (Wikipedia)</a>, +<a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.NakagamiDistribution">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/NakagamiDistribution.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/NakagamiDistribution.html#NakagamiDistribution(double,%20double)">NakagamiDistribution</a></strong>(double mu, + double omega)</code> +<div class="block">Build a new instance.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.html#NakagamiDistribution(double,%20double,%20double)">NakagamiDistribution</a></strong>(double mu, + double omega, + double inverseAbsoluteAccuracy)</code> +<div class="block">Build a new instance.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.html#NakagamiDistribution(org.apache.commons.math3.random.RandomGenerator,%20double,%20double,%20double)">NakagamiDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double mu, + double omega, + double inverseAbsoluteAccuracy)</code> +<div class="block">Build a new instance.</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/NakagamiDistribution.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/NakagamiDistribution.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/NakagamiDistribution.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="rowColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.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="altColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.html#getScale()">getScale</a></strong>()</code> +<div class="block">Access the scale parameter, <code>omega</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/NakagamiDistribution.html#getShape()">getShape</a></strong>()</code> +<div class="block">Access the shape parameter, <code>mu</code>.</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/NakagamiDistribution.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/NakagamiDistribution.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/NakagamiDistribution.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>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.html#isSupportConnected()">isSupportConnected</a></strong>()</code> +<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.</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/NakagamiDistribution.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="rowColor"> +<td class="colFirst"><code>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.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,%20double)">cumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</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,%20double)">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,%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"> +<!-- ============ 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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.37">DEFAULT_INVERSE_ABSOLUTE_ACCURACY</a></pre> +<div class="block">Default inverse cumulative probability accuracy.</div> +<dl><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../constant-values.html#org.apache.commons.math3.distribution.NakagamiDistribution.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="NakagamiDistribution(double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>NakagamiDistribution</h4> +<pre>public <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.57">NakagamiDistribution</a>(double mu, + double omega)</pre> +<div class="block">Build a new instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>mu</code> - shape parameter</dd><dd><code>omega</code> - scale parameter (must be positive)</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if <code>mu < 0.5</code></dd> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>omega <= 0</code></dd></dl> +</li> +</ul> +<a name="NakagamiDistribution(double, double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>NakagamiDistribution</h4> +<pre>public <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.71">NakagamiDistribution</a>(double mu, + double omega, + double inverseAbsoluteAccuracy)</pre> +<div class="block">Build a new instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>mu</code> - shape parameter</dd><dd><code>omega</code> - scale parameter (must be positive)</dd><dd><code>inverseAbsoluteAccuracy</code> - the maximum absolute error in inverse + cumulative probability estimates (defaults to <a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.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/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if <code>mu < 0.5</code></dd> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>omega <= 0</code></dd></dl> +</li> +</ul> +<a name="NakagamiDistribution(org.apache.commons.math3.random.RandomGenerator, double, double, double)"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>NakagamiDistribution</h4> +<pre>public <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.86">NakagamiDistribution</a>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double mu, + double omega, + double inverseAbsoluteAccuracy)</pre> +<div class="block">Build a new instance.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator</dd><dd><code>mu</code> - shape parameter</dd><dd><code>omega</code> - scale parameter (must be positive)</dd><dd><code>inverseAbsoluteAccuracy</code> - the maximum absolute error in inverse + cumulative probability estimates (defaults to <a href="../../../../../org/apache/commons/math3/distribution/NakagamiDistribution.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/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code> - if <code>mu < 0.5</code></dd> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code> - if <code>omega <= 0</code></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="getShape()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getShape</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.106">getShape</a>()</pre> +<div class="block">Access the shape parameter, <code>mu</code>.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the shape parameter.</dd></dl> +</li> +</ul> +<a name="getScale()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getScale</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.115">getScale</a>()</pre> +<div class="block">Access the scale parameter, <code>omega</code>.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the scale parameter.</dd></dl> +</li> +</ul> +<a name="getSolverAbsoluteAccuracy()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getSolverAbsoluteAccuracy</h4> +<pre>protected double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.120">getSolverAbsoluteAccuracy</a>()</pre> +<div class="block"><strong>Description copied from class: <code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#getSolverAbsoluteAccuracy()">AbstractRealDistribution</a></code></strong></div> +<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="density(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>density</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.125">density</a>(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="cumulativeProbability(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>cumulativeProbability</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.134">cumulativeProbability</a>(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="getNumericalMean()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getNumericalMean</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.139">getNumericalMean</a>()</pre> +<div class="block">Use this method to get the numerical value of the mean of this + distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the mean or <code>Double.NaN</code> if it is not defined</dd></dl> +</li> +</ul> +<a name="getNumericalVariance()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getNumericalVariance</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.144">getNumericalVariance</a>()</pre> +<div class="block">Use this method to get the numerical value of the variance of this + distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the variance (possibly <code>Double.POSITIVE_INFINITY</code> as + for certain cases in <a href="../../../../../org/apache/commons/math3/distribution/TDistribution.html" title="class in org.apache.commons.math3.distribution"><code>TDistribution</code></a>) or <code>Double.NaN</code> if it + is not defined</dd></dl> +</li> +</ul> +<a name="getSupportLowerBound()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getSupportLowerBound</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.150">getSupportLowerBound</a>()</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></div> +<dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support (might be + <code>Double.NEGATIVE_INFINITY</code>)</dd></dl> +</li> +</ul> +<a name="getSupportUpperBound()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getSupportUpperBound</h4> +<pre>public double <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.155">getSupportUpperBound</a>()</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></div> +<dl><dt><span class="strong">Returns:</span></dt><dd>upper bound of the support (might be + <code>Double.POSITIVE_INFINITY</code>)</dd></dl> +</li> +</ul> +<a name="isSupportLowerBoundInclusive()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>isSupportLowerBoundInclusive</h4> +<pre>public boolean <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.160">isSupportLowerBoundInclusive</a>()</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.165">isSupportUpperBoundInclusive</a>()</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 <a href="../../../../../src-html/org/apache/commons/math3/distribution/NakagamiDistribution.html#line.170">isSupportConnected</a>()</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.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>whether the support is connected or not</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/NakagamiDistribution.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/MultivariateRealDistribution.html" title="interface in org.apache.commons.math3.distribution"><span class="strong">Prev Class</span></a></li> +<li><a href="../../../../../org/apache/commons/math3/distribution/NormalDistribution.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/NakagamiDistribution.html" target="_top">Frames</a></li> +<li><a href="NakagamiDistribution.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>. 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