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diff --git a/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/distribution/LogNormalDistribution.html b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/distribution/LogNormalDistribution.html new file mode 100644 index 0000000..e1abed1 --- /dev/null +++ b/commons-math3-3.6.1/docs/apidocs/org/apache/commons/math3/distribution/LogNormalDistribution.html @@ -0,0 +1,872 @@ +<!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>LogNormalDistribution (Apache Commons Math 3.6.1 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="LogNormalDistribution (Apache Commons Math 3.6.1 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/LogNormalDistribution.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/LogisticDistribution.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/MixtureMultivariateNormalDistribution.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/LogNormalDistribution.html" target="_top">Frames</a></li> +<li><a href="LogNormalDistribution.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"); 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The probability distribution function of <code>X</code> + is given by (for <code>x > 0</code>) + </p> + <p> + <code>exp(-0.5 * ((ln(x) - m) / s)^2) / (s * sqrt(2 * pi) * x)</code> + </p> + <ul> + <li><code>m</code> is the <em>scale</em> parameter: this is the mean of the + normally distributed natural logarithm of this distribution,</li> + <li><code>s</code> is the <em>shape</em> parameter: this is the standard + deviation of the normally distributed natural logarithm of this + distribution. + </ul></div> +<dl><dt><span class="strong">Since:</span></dt> + <dd>3.0</dd> +<dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Log-normal_distribution"> + Log-normal distribution (Wikipedia)</a>, +<a href="http://mathworld.wolfram.com/LogNormalDistribution.html"> + Log Normal distribution (MathWorld)</a>, +<a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.LogNormalDistribution">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/LogNormalDistribution.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/LogNormalDistribution.html#LogNormalDistribution()">LogNormalDistribution</a></strong>()</code> +<div class="block">Create a log-normal distribution, where the mean and standard deviation + of the <a href="../../../../../org/apache/commons/math3/distribution/NormalDistribution.html" title="class in org.apache.commons.math3.distribution"><code>normally distributed</code></a> natural + logarithm of the log-normal distribution are equal to zero and one + respectively.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#LogNormalDistribution(double,%20double)">LogNormalDistribution</a></strong>(double scale, + double shape)</code> +<div class="block">Create a log-normal distribution using the specified scale and shape.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#LogNormalDistribution(double,%20double,%20double)">LogNormalDistribution</a></strong>(double scale, + double shape, + double inverseCumAccuracy)</code> +<div class="block">Create a log-normal distribution using the specified scale, shape and + inverse cumulative distribution accuracy.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#LogNormalDistribution(org.apache.commons.math3.random.RandomGenerator,%20double,%20double)">LogNormalDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double scale, + double shape)</code> +<div class="block">Creates a log-normal distribution.</div> +</td> +</tr> +<tr class="altColor"> +<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#LogNormalDistribution(org.apache.commons.math3.random.RandomGenerator,%20double,%20double,%20double)">LogNormalDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double scale, + double shape, + double inverseCumAccuracy)</code> +<div class="block">Creates a log-normal 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/LogNormalDistribution.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/LogNormalDistribution.html#cumulativeProbability(double,%20double)">cumulativeProbability</a></strong>(double x0, + double x1)</code> +<div class="block"><strong>Deprecated.</strong> +<div class="block"><i>See <a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#cumulativeProbability(double,%20double)"><code>RealDistribution.cumulativeProbability(double,double)</code></a></i></div> +</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/LogNormalDistribution.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="rowColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.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/LogNormalDistribution.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/LogNormalDistribution.html#getScale()">getScale</a></strong>()</code> +<div class="block">Returns the scale parameter 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/LogNormalDistribution.html#getShape()">getShape</a></strong>()</code> +<div class="block">Returns the shape parameter of this distribution.</div> +</td> +</tr> +<tr class="rowColor"> +<td class="colFirst"><code>protected double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#getSolverAbsoluteAccuracy()">getSolverAbsoluteAccuracy</a></strong>()</code> +<div class="block">Returns the solver absolute accuracy for inverse cumulative computation.</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/LogNormalDistribution.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/LogNormalDistribution.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>boolean</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.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/LogNormalDistribution.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/LogNormalDistribution.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> +<tr class="rowColor"> +<td class="colFirst"><code>double</code></td> +<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#logDensity(double)">logDensity</a></strong>(double x)</code> +<div class="block">Returns the natural logarithm of 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/LogNormalDistribution.html#probability(double,%20double)">probability</a></strong>(double x0, + double x1)</code> +<div class="block">For a random variable <code>X</code> whose values are distributed according + to this distribution, this method returns <code>P(x0 < X <= x1)</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/LogNormalDistribution.html#sample()">sample</a></strong>()</code> +<div class="block">Generate a random value sampled from this distribution.</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#inverseCumulativeProbability(double)">inverseCumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#probability(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(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/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3> +<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a 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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.LogNormalDistribution.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="LogNormalDistribution()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>LogNormalDistribution</h4> +<pre>public LogNormalDistribution()</pre> +<div class="block">Create a log-normal distribution, where the mean and standard deviation + of the <a href="../../../../../org/apache/commons/math3/distribution/NormalDistribution.html" title="class in org.apache.commons.math3.distribution"><code>normally distributed</code></a> natural + logarithm of the log-normal distribution are equal to zero and one + respectively. In other words, the scale of the returned distribution is + <code>0</code>, while its shape is <code>1</code>. + <p> + <b>Note:</b> this constructor will implicitly create an instance of + <a href="../../../../../org/apache/commons/math3/random/Well19937c.html" title="class in org.apache.commons.math3.random"><code>Well19937c</code></a> as random generator to be used for sampling only (see + <a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#sample()"><code>sample()</code></a> and <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#sample(int)"><code>AbstractRealDistribution.sample(int)</code></a>). In case no sampling is + needed for the created distribution, it is advised to pass <code>null</code> + as random generator via the appropriate constructors to avoid the + additional initialisation overhead.</div> +</li> +</ul> +<a name="LogNormalDistribution(double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>LogNormalDistribution</h4> +<pre>public LogNormalDistribution(double scale, + double shape) + throws <a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre> +<div class="block">Create a log-normal distribution using the specified scale and shape. + <p> + <b>Note:</b> this constructor will implicitly create an instance of + <a href="../../../../../org/apache/commons/math3/random/Well19937c.html" title="class in org.apache.commons.math3.random"><code>Well19937c</code></a> as random generator to be used for sampling only (see + <a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#sample()"><code>sample()</code></a> and <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#sample(int)"><code>AbstractRealDistribution.sample(int)</code></a>). In case no sampling is + needed for the created distribution, it is advised to pass <code>null</code> + as random generator via the appropriate constructors to avoid the + additional initialisation overhead.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>scale</code> - the scale parameter of this distribution</dd><dd><code>shape</code> - the shape parameter of 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>shape <= 0</code>.</dd></dl> +</li> +</ul> +<a name="LogNormalDistribution(double, double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>LogNormalDistribution</h4> +<pre>public LogNormalDistribution(double scale, + double shape, + double inverseCumAccuracy) + throws <a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre> +<div class="block">Create a log-normal distribution using the specified scale, shape and + inverse cumulative distribution accuracy. + <p> + <b>Note:</b> this constructor will implicitly create an instance of + <a href="../../../../../org/apache/commons/math3/random/Well19937c.html" title="class in org.apache.commons.math3.random"><code>Well19937c</code></a> as random generator to be used for sampling only (see + <a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#sample()"><code>sample()</code></a> and <a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#sample(int)"><code>AbstractRealDistribution.sample(int)</code></a>). In case no sampling is + needed for the created distribution, it is advised to pass <code>null</code> + as random generator via the appropriate constructors to avoid the + additional initialisation overhead.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>scale</code> - the scale parameter of this distribution</dd><dd><code>shape</code> - the shape parameter of this distribution</dd><dd><code>inverseCumAccuracy</code> - Inverse cumulative probability accuracy.</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>shape <= 0</code>.</dd></dl> +</li> +</ul> +<a name="LogNormalDistribution(org.apache.commons.math3.random.RandomGenerator, double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>LogNormalDistribution</h4> +<pre>public LogNormalDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double scale, + double shape) + throws <a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre> +<div class="block">Creates a log-normal distribution.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>scale</code> - Scale parameter of this distribution.</dd><dd><code>shape</code> - Shape parameter of 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>shape <= 0</code>.</dd><dt><span class="strong">Since:</span></dt> + <dd>3.3</dd></dl> +</li> +</ul> +<a name="LogNormalDistribution(org.apache.commons.math3.random.RandomGenerator, double, double, double)"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>LogNormalDistribution</h4> +<pre>public LogNormalDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a> rng, + double scale, + double shape, + double inverseCumAccuracy) + throws <a href="../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></pre> +<div class="block">Creates a log-normal distribution.</div> +<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>scale</code> - Scale parameter of this distribution.</dd><dd><code>shape</code> - Shape parameter of this distribution.</dd><dd><code>inverseCumAccuracy</code> - Inverse cumulative probability accuracy.</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>shape <= 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="getScale()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getScale</h4> +<pre>public double getScale()</pre> +<div class="block">Returns the scale parameter of this distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the scale parameter</dd></dl> +</li> +</ul> +<a name="getShape()"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>getShape</h4> +<pre>public double getShape()</pre> +<div class="block">Returns the shape parameter of this distribution.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>the shape parameter</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. + + For scale <code>m</code>, and shape <code>s</code> of this distribution, the PDF + is given by + <ul> + <li><code>0</code> if <code>x <= 0</code>,</li> + <li><code>exp(-0.5 * ((ln(x) - m) / s)^2) / (s * sqrt(2 * pi) * x)</code> + otherwise.</li> + </ul></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="logDensity(double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>logDensity</h4> +<pre>public double logDensity(double x)</pre> +<div class="block">Returns the natural logarithm of 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. Note + that due to the floating point precision and under/overflow issues, this method will for some + distributions be more precise and faster than computing the logarithm of + <a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#density(double)"><code>RealDistribution.density(double)</code></a>. The default implementation simply computes the logarithm of + <code>density(x)</code>. + + See documentation of <a href="../../../../../org/apache/commons/math3/distribution/LogNormalDistribution.html#density(double)"><code>density(double)</code></a> for computation details.</div> +<dl> +<dt><strong>Overrides:</strong></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#logDensity(double)">logDensity</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>x</code> - the point at which the PDF is evaluated</dd> +<dt><span class="strong">Returns:</span></dt><dd>the logarithm of 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 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. + + For scale <code>m</code>, and shape <code>s</code> of this distribution, the CDF + is given by + <ul> + <li><code>0</code> if <code>x <= 0</code>,</li> + <li><code>0</code> if <code>ln(x) - m < 0</code> and <code>m - ln(x) > 40 * s</code>, as + in these cases the actual value is within <code>Double.MIN_VALUE</code> of 0, + <li><code>1</code> if <code>ln(x) - m >= 0</code> and <code>ln(x) - m > 40 * s</code>, + as in these cases the actual value is within <code>Double.MIN_VALUE</code> of + 1,</li> + <li><code>0.5 + 0.5 * erf((ln(x) - m) / (s * sqrt(2))</code> otherwise.</li> + </ul></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="cumulativeProbability(double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>cumulativeProbability</h4> +<pre><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Deprecated.html?is-external=true" title="class or interface in java.lang">@Deprecated</a> +public double cumulativeProbability(double x0, + double x1) + throws <a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre> +<div class="block"><span class="strong">Deprecated.</span> <i>See <a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#cumulativeProbability(double,%20double)"><code>RealDistribution.cumulativeProbability(double,double)</code></a></i></div> +<div class="block">For a random variable <code>X</code> whose values are distributed according + to this distribution, this method returns <code>P(x0 < X <= x1)</code>. + + The default implementation uses the identity + <p><code>P(x0 < X <= x1) = P(X <= x1) - P(X <= x0)</code></p></div> +<dl> +<dt><strong>Specified by:</strong></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#cumulativeProbability(double,%20double)">cumulativeProbability</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#cumulativeProbability(double,%20double)">cumulativeProbability</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>x0</code> - the exclusive lower bound</dd><dd><code>x1</code> - the inclusive upper bound</dd> +<dt><span class="strong">Returns:</span></dt><dd>the probability that a random variable with this distribution + takes a value between <code>x0</code> and <code>x1</code>, + excluding the lower and including the upper endpoint</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>x0 > x1</code></dd></dl> +</li> +</ul> +<a name="probability(double, double)"> +<!-- --> +</a> +<ul class="blockList"> +<li class="blockList"> +<h4>probability</h4> +<pre>public double probability(double x0, + double x1) + throws <a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre> +<div class="block">For a random variable <code>X</code> whose values are distributed according + to this distribution, this method returns <code>P(x0 < X <= x1)</code>.</div> +<dl> +<dt><strong>Overrides:</strong></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractRealDistribution.html#probability(double,%20double)">probability</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>x0</code> - Lower bound (excluded).</dd><dd><code>x1</code> - Upper bound (included).</dd> +<dt><span class="strong">Returns:</span></dt><dd>the probability that a random variable with this distribution + takes a value between <code>x0</code> and <code>x1</code>, excluding the lower + and including the upper endpoint.</dd> +<dt><span class="strong">Throws:</span></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>x0 > x1</code>. + + The default implementation uses the identity + <code>P(x0 < X <= x1) = P(X <= x1) - P(X <= x0)</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. + + For scale <code>m</code> and shape <code>s</code>, the mean is + <code>exp(m + s^2 / 2)</code>.</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 getNumericalVariance()</pre> +<div class="block">Use this method to get the numerical value of the variance of this + distribution. + + For scale <code>m</code> and shape <code>s</code>, the variance is + <code>(exp(s^2) - 1) * exp(2 * m + s^2)</code>.</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 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 0 no matter the parameters.</div> +<dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support (always 0)</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 + <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 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="blockList"> +<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> +<a name="sample()"> +<!-- --> +</a> +<ul class="blockListLast"> +<li class="blockList"> +<h4>sample</h4> +<pre>public double sample()</pre> +<div class="block">Generate a random value sampled from this distribution. + + The default implementation uses the + <a href="http://en.wikipedia.org/wiki/Inverse_transform_sampling"> + inversion method. + </a></div> +<dl> +<dt><strong>Specified by:</strong></dt> +<dd><code><a href="../../../../../org/apache/commons/math3/distribution/RealDistribution.html#sample()">sample</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#sample()">sample</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>a random value.</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/LogNormalDistribution.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/LogisticDistribution.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/MixtureMultivariateNormalDistribution.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/LogNormalDistribution.html" target="_top">Frames</a></li> +<li><a href="LogNormalDistribution.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 © 2003–2016 <a href="http://www.apache.org/">The Apache Software Foundation</a>. 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