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<a href="../MathNet.Numerics.Distributions/Bernoulli.htm">Bernoulli</a> |
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<a href="../MathNet.Numerics.Distributions/Zipf.htm">Zipf</a> |
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</ul> |
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</div> |
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</div> |
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<div class="header"> |
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<p class="class"><strong>Type</strong> Burr</p> |
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<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p> |
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<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IContinuousDistribution.htm">IContinuousDistribution</a></p> |
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</div> |
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<div class="sub-header"> |
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<h3 class="section">Constructors</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#.ctor">Burr</a></li> |
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</ul> |
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<h3 class="section">Static Functions</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#CDF">CDF</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#IsValidParameterSet">IsValidParameterSet</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#PDF">PDF</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#PDFLn">PDFLn</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Sample">Sample</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Samples">Samples</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Samples">Samples</a></li> |
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</ul> |
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<h3 class="section">Methods</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#CumulativeDistribution">CumulativeDistribution</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Density">Density</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#DensityLn">DensityLn</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Equals">Equals</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#GetHashCode">GetHashCode</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#GetMoment">GetMoment</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#GetType">GetType</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Sample">Sample</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Samples">Samples</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Samples">Samples</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#ToString">ToString</a></li> |
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</ul> |
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<h3 class="section">Properties</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#a">a</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#c">c</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Entropy">Entropy</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#k">k</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Maximum">Maximum</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Mean">Mean</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Median">Median</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Minimum">Minimum</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Mode">Mode</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#RandomSource">RandomSource</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Skewness">Skewness</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#StdDev">StdDev</a></li> |
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<li><a href="../MathNet.Numerics.Distributions/Burr.htm#Variance">Variance</a></li> |
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</ul> |
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</div> |
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<h3 class="section">Public Constructors</h3> |
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<div id=".ctor" class="method"> |
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<h4> <strong>Burr</strong>(<span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k, <span title="System.Random">Random</span> randomSource)</h4> |
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<div class="content">Initializes a new instance of the Burr Type XII class. |
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<div class="parameters"> |
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<h5>Parameters</h5> |
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<h6><code><span title="System.double">double</span></code> a</h6> |
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<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
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<h6><code><span title="System.double">double</span></code> c</h6> |
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<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
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<h6><code><span title="System.double">double</span></code> k</h6> |
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<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
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<h6><code><span title="System.Random">Random</span></code> randomSource</h6> |
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<p class="comments">The random number generator which is used to draw random samples. Optional, can be null. </p> |
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</div> |
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</div> |
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</div> |
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<h3 class="section">Public Static Functions</h3> |
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<div id="CDF" class="method"> |
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<h4><span title="System.double">double</span> <strong>CDF</strong>(<span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k, <span title="System.double">double</span> x)</h4> |
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<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
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<div class="parameters"> |
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<h5>Parameters</h5> |
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<h6><code><span title="System.double">double</span></code> a</h6> |
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<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
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<h6><code><span title="System.double">double</span></code> c</h6> |
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<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
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<h6><code><span title="System.double">double</span></code> k</h6> |
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<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
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<h6><code><span title="System.double">double</span></code> x</h6> |
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<p class="comments">The location at which to compute the cumulative distribution function. </p> |
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</div> |
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<div class="return"> |
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<h5>Return</h5> |
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<h6><code><span title="System.double">double</span></code></h6> |
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<p>the cumulative distribution at location <var>x</var>. </p> |
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</div> |
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</div> |
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</div> |
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<div id="IsValidParameterSet" class="method"> |
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<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k)</h4> |
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<div class="content">Tests whether the provided values are valid parameters for this distribution. |
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<div class="parameters"> |
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<h5>Parameters</h5> |
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<h6><code><span title="System.double">double</span></code> a</h6> |
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<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
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<h6><code><span title="System.double">double</span></code> c</h6> |
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<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
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<h6><code><span title="System.double">double</span></code> k</h6> |
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<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
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</div> |
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</div> |
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</div> |
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<div id="PDF" class="method"> |
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<h4><span title="System.double">double</span> <strong>PDF</strong>(<span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k, <span title="System.double">double</span> x)</h4> |
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<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
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<div class="parameters"> |
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<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> a</h6> |
|||
<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> c</h6> |
|||
<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> k</h6> |
|||
<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="PDFLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>PDFLn</strong>(<span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> a</h6> |
|||
<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> c</h6> |
|||
<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> k</h6> |
|||
<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k)</h4> |
|||
<div class="content">Generates a sample from the Burr distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> a</h6> |
|||
<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> c</h6> |
|||
<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> k</h6> |
|||
<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> values, <span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
<h6><code><span title="System.double">double</span></code> a</h6> |
|||
<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> c</h6> |
|||
<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> k</h6> |
|||
<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> a, <span title="System.double">double</span> c, <span title="System.double">double</span> k)</h4> |
|||
<div class="content">Generates a sequence of samples from the Burr distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> a</h6> |
|||
<p class="comments">The scale parameter a of the Burr distribution. Range: a > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> c</h6> |
|||
<p class="comments">The first shape parameter c of the Burr distribution. Range: c > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> k</h6> |
|||
<p class="comments">The second shape parameter k of the Burr distribution. Range: k > 0. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Methods</h3> |
|||
|
|||
<div id="CumulativeDistribution" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>CumulativeDistribution</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the cumulative distribution at location <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Density" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Density</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="DensityLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>DensityLn</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Equals" class="method"> |
|||
<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetHashCode" class="method"> |
|||
<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetMoment" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>GetMoment</strong>(<span title="System.double">double</span> n)</h4> |
|||
<div class="content">Gets the n-th raw moment of the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> n</h6> |
|||
<p class="comments">The order (n) of the moment. Range: n ≥ 1. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the n-th moment of the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetType" class="method"> |
|||
<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>()</h4> |
|||
<div class="content">Generates a sample from the Burr distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>()</h4> |
|||
<div class="content">Generates a sequence of samples from the Burr distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Double[]">Double[]</span> values)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="ToString" class="method"> |
|||
<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4> |
|||
<div class="content">A string representation of the distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.string">string</span></code></h6> |
|||
<p>a string representation of the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Properties</h3> |
|||
|
|||
<div id="a" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>a</strong> get; </h4> |
|||
<div class="content">Gets the scale (a) of the distribution. Range: a > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="c" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>c</strong> get; </h4> |
|||
<div class="content">Gets the first shape parameter (c) of the distribution. Range: c > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Entropy" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Entropy</strong> get; </h4> |
|||
<div class="content">Gets the entropy of the Burr distribution (currently not supported). |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="k" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>k</strong> get; </h4> |
|||
<div class="content">Gets the second shape parameter (k) of the distribution. Range: k > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Maximum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Maximum</strong> get; </h4> |
|||
<div class="content">Gets the maximum of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mean" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mean</strong> get; </h4> |
|||
<div class="content">Gets the mean of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Median" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Median</strong> get; </h4> |
|||
<div class="content">Gets the median of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Minimum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Minimum</strong> get; </h4> |
|||
<div class="content">Gets the minimum of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mode" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mode</strong> get; </h4> |
|||
<div class="content">Gets the mode of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="RandomSource" class="method"> |
|||
<h4><span title="System.Random">Random</span> <strong>RandomSource</strong> get; set;</h4> |
|||
<div class="content">Gets the random number generator which is used to draw random samples. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Skewness" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Skewness</strong> get; </h4> |
|||
<div class="content">Gets the skewness of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="StdDev" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>StdDev</strong> get; </h4> |
|||
<div class="content">Gets the standard deviation of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Variance" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Variance</strong> get; </h4> |
|||
<div class="content">Gets the variance of the Burr distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="footer"> |
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<p>Based on v4.9.0.0 of MathNet.Numerics (Math.NET Numerics)</p> |
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p> |
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<h2 class="fixed">Types in MathNet.Numerics.Distributions</h2> |
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<a href="../MathNet.Numerics.Distributions/InverseGamma.htm">InverseGamma</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Distributions/InverseGaussian.htm" class="current">InverseGaussian</a> |
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<a href="../MathNet.Numerics.Distributions/InverseWishart.htm">InverseWishart</a> |
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</li> |
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</ul> |
|||
</div> |
|||
</div> |
|||
<div class="header"> |
|||
<p class="class"><strong>Type</strong> InverseGaussian</p> |
|||
<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p> |
|||
<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IContinuousDistribution.htm">IContinuousDistribution</a></p> |
|||
</div> |
|||
<div class="sub-header"> |
|||
|
|||
<h3 class="section">Constructors</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#.ctor">InverseGaussian</a></li> |
|||
</ul> |
|||
|
|||
<h3 class="section">Static Functions</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#CDF">CDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Estimate">Estimate</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#ICDF">ICDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#IsValidParameterSet">IsValidParameterSet</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#PDF">PDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#PDFLn">PDFLn</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Sample">Sample</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Samples">Samples</a></li> |
|||
</ul> |
|||
<h3 class="section">Methods</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#CumulativeDistribution">CumulativeDistribution</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Density">Density</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#DensityLn">DensityLn</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Equals">Equals</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#GetHashCode">GetHashCode</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#GetType">GetType</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#InvCDF">InvCDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Sample">Sample</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#ToString">ToString</a></li> |
|||
</ul> |
|||
|
|||
|
|||
<h3 class="section">Properties</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Entropy">Entropy</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Kurtosis">Kurtosis</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Lambda">Lambda</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Maximum">Maximum</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Mean">Mean</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Median">Median</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Minimum">Minimum</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Mode">Mode</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Mu">Mu</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#RandomSource">RandomSource</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Skewness">Skewness</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#StdDev">StdDev</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm#Variance">Variance</a></li> |
|||
</ul> |
|||
|
|||
</div> |
|||
|
|||
|
|||
<h3 class="section">Public Constructors</h3> |
|||
|
|||
<div id=".ctor" class="method"> |
|||
<h4> <strong>InverseGaussian</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda, <span title="System.Random">Random</span> randomSource)</h4> |
|||
<div class="content">Initializes a new instance of the InverseGaussian class. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
<h6><code><span title="System.Random">Random</span></code> randomSource</h6> |
|||
<p class="comments">The random number generator which is used to draw random samples. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Static Functions</h3> |
|||
|
|||
<div id="CDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>CDF</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the cumulative distribution at location <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Estimate" class="method"> |
|||
<h4><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm">InverseGaussian</a> <strong>Estimate</strong>(<span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> samples, <span title="System.Random">Random</span> randomSource)</h4> |
|||
<div class="content">Estimates the Inverse Gaussian parameters from sample data with maximum-likelihood. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code> samples</h6> |
|||
<p class="comments">The samples to estimate the distribution parameters from. </p> |
|||
<h6><code><span title="System.Random">Random</span></code> randomSource</h6> |
|||
<p class="comments">The random number generator which is used to draw random samples. Optional, can be null. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><a href="../MathNet.Numerics.Distributions/InverseGaussian.htm">InverseGaussian</a></code></h6> |
|||
<p>An Inverse Gaussian distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="ICDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>ICDF</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda, <span title="System.double">double</span> p)</h4> |
|||
<div class="content">Computes the inverse cumulative distribution (CDF) of the distribution at p, i.e. solving for P(X ≤ x) = p. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> p</h6> |
|||
<p class="comments">The location at which to compute the inverse cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the inverse cumulative distribution at location <var>p</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="IsValidParameterSet" class="method"> |
|||
<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda)</h4> |
|||
<div class="content">Tests whether the provided values are valid parameters for this distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="PDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>PDF</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="PDFLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>PDFLn</strong>(<span title="System.double">double</span> mu, <span title="System.double">double</span> lambda, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> mu, <span title="System.double">double</span> lambda)</h4> |
|||
<div class="content">Generates a sample from the inverse Gaussian distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> values, <span title="System.double">double</span> mu, <span title="System.double">double</span> lambda)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> mu, <span title="System.double">double</span> lambda)</h4> |
|||
<div class="content">Generates a sequence of samples from the Burr distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> mu</h6> |
|||
<p class="comments">The mean (μ) of the distribution. Range: μ > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> lambda</h6> |
|||
<p class="comments">The shape (λ) of the distribution. Range: λ > 0. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Methods</h3> |
|||
|
|||
<div id="CumulativeDistribution" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>CumulativeDistribution</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the cumulative distribution at location <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Density" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Density</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="DensityLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>DensityLn</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Equals" class="method"> |
|||
<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetHashCode" class="method"> |
|||
<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetType" class="method"> |
|||
<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="InvCDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>InvCDF</strong>(<span title="System.double">double</span> p)</h4> |
|||
<div class="content">Computes the inverse cumulative distribution (CDF) of the distribution at p, i.e. solving for P(X ≤ x) = p. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> p</h6> |
|||
<p class="comments">The location at which to compute the inverse cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the inverse cumulative distribution at location <var>p</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>()</h4> |
|||
<div class="content">Generates a sample from the inverse Gaussian distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Double[]">Double[]</span> values)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>()</h4> |
|||
<div class="content">Generates a sequence of samples from the inverse Gaussian distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="ToString" class="method"> |
|||
<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4> |
|||
<div class="content">A string representation of the distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.string">string</span></code></h6> |
|||
<p>a string representation of the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Properties</h3> |
|||
|
|||
<div id="Entropy" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Entropy</strong> get; </h4> |
|||
<div class="content">Gets the entropy of the Inverse Gaussian distribution (currently not supported). |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Kurtosis" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Kurtosis</strong> get; </h4> |
|||
<div class="content">Gets the kurtosis of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Lambda" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Lambda</strong> get; </h4> |
|||
<div class="content">Gets the shape (λ) of the distribution. Range: λ > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Maximum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Maximum</strong> get; </h4> |
|||
<div class="content">Gets the maximum of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mean" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mean</strong> get; </h4> |
|||
<div class="content">Gets the mean of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Median" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Median</strong> get; </h4> |
|||
<div class="content">Gets the median of the Inverse Gaussian distribution. |
|||
No closed form analytical expression exists, so this value is approximated numerically and can throw an exception. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Minimum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Minimum</strong> get; </h4> |
|||
<div class="content">Gets the minimum of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mode" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mode</strong> get; </h4> |
|||
<div class="content">Gets the mode of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mu" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mu</strong> get; </h4> |
|||
<div class="content">Gets the mean (μ) of the distribution. Range: μ > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="RandomSource" class="method"> |
|||
<h4><span title="System.Random">Random</span> <strong>RandomSource</strong> get; set;</h4> |
|||
<div class="content">Gets the random number generator which is used to draw random samples. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Skewness" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Skewness</strong> get; </h4> |
|||
<div class="content">Gets the skewness of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="StdDev" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>StdDev</strong> get; </h4> |
|||
<div class="content">Gets the standard deviation of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Variance" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Variance</strong> get; </h4> |
|||
<div class="content">Gets the variance of the Inverse Gaussian distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="footer"> |
|||
<p>Based on v4.9.0.0 of MathNet.Numerics (Math.NET Numerics)</p> |
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p> |
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</div><div id="types"> |
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<h2 class="fixed">Types in MathNet.Numerics.Distributions</h2> |
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<a href="../MathNet.Numerics.Distributions/NormalGamma.htm">NormalGamma</a> |
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<a href="../MathNet.Numerics.Distributions/Pareto.htm">Pareto</a> |
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<a href="../MathNet.Numerics.Distributions/Poisson.htm">Poisson</a> |
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<li> |
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<a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm" class="current">TruncatedPareto</a> |
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</li> |
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<a href="../MathNet.Numerics.Distributions/Weibull.htm">Weibull</a> |
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</li> |
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</ul> |
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</div> |
|||
</div> |
|||
<div class="header"> |
|||
<p class="class"><strong>Type</strong> TruncatedPareto</p> |
|||
<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p> |
|||
<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IContinuousDistribution.htm">IContinuousDistribution</a></p> |
|||
</div> |
|||
<div class="sub-header"> |
|||
|
|||
<h3 class="section">Constructors</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#.ctor">TruncatedPareto</a></li> |
|||
</ul> |
|||
|
|||
<h3 class="section">Static Functions</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#CDF">CDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#ICDF">ICDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#IsValidParameterSet">IsValidParameterSet</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#PDF">PDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#PDFLn">PDFLn</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Sample">Sample</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Samples">Samples</a></li> |
|||
</ul> |
|||
<h3 class="section">Methods</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#CumulativeDistribution">CumulativeDistribution</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Density">Density</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#DensityLn">DensityLn</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Equals">Equals</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#GetHashCode">GetHashCode</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#GetMoment">GetMoment</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#GetType">GetType</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#InvCDF">InvCDF</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Sample">Sample</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Samples">Samples</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#ToString">ToString</a></li> |
|||
</ul> |
|||
|
|||
|
|||
<h3 class="section">Properties</h3> |
|||
<ul> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Entropy">Entropy</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Maximum">Maximum</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Mean">Mean</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Median">Median</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Minimum">Minimum</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Mode">Mode</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#RandomSource">RandomSource</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Scale">Scale</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Shape">Shape</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Skewness">Skewness</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#StdDev">StdDev</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Truncation">Truncation</a></li> |
|||
<li><a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm#Variance">Variance</a></li> |
|||
</ul> |
|||
|
|||
</div> |
|||
|
|||
|
|||
<h3 class="section">Public Constructors</h3> |
|||
|
|||
<div id=".ctor" class="method"> |
|||
<h4> <strong>TruncatedPareto</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation, <span title="System.Random">Random</span> randomSource)</h4> |
|||
<div class="content">Initializes a new instance of the TruncatedPareto class. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
<h6><code><span title="System.Random">Random</span></code> randomSource</h6> |
|||
<p class="comments">The random number generator which is used to draw random samples. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Static Functions</h3> |
|||
|
|||
<div id="CDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>CDF</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the cumulative distribution at location <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="ICDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>ICDF</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation, <span title="System.double">double</span> p)</h4> |
|||
<div class="content">Computes the inverse cumulative distribution (CDF) of the distribution at p, i.e. solving for P(X ≤ x) = p. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
<h6><code><span title="System.double">double</span></code> p</h6> |
|||
<p class="comments">The location at which to compute the inverse cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the inverse cumulative distribution at location <var>p</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="IsValidParameterSet" class="method"> |
|||
<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation)</h4> |
|||
<div class="content">Tests whether the provided values are valid parameters for this distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="PDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>PDF</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="PDFLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>PDFLn</strong>(<span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation, <span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation)</h4> |
|||
<div class="content">Generates a sample from the truncated Pareto distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> values, <span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> scale, <span title="System.double">double</span> shape, <span title="System.double">double</span> truncation)</h4> |
|||
<div class="content">Generates a sequence of samples from the truncated Pareto distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Random">Random</span></code> rnd</h6> |
|||
<p class="comments">The random number generator to use. </p> |
|||
<h6><code><span title="System.double">double</span></code> scale</h6> |
|||
<p class="comments">The scale (xm) of the distribution. Range: xm > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> shape</h6> |
|||
<p class="comments">The shape (α) of the distribution. Range: α > 0. </p> |
|||
<h6><code><span title="System.double">double</span></code> truncation</h6> |
|||
<p class="comments">The truncation (T) of the distribution. Range: T > xm. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Methods</h3> |
|||
|
|||
<div id="CumulativeDistribution" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>CumulativeDistribution</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the cumulative distribution at location <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Density" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Density</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="DensityLn" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>DensityLn</strong>(<span title="System.double">double</span> x)</h4> |
|||
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x). |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> x</h6> |
|||
<p class="comments">The location at which to compute the log density. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the log density at <var>x</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Equals" class="method"> |
|||
<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetHashCode" class="method"> |
|||
<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetMoment" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>GetMoment</strong>(<span title="System.int">int</span> n)</h4> |
|||
<div class="content">Gets the n-th raw moment of the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.int">int</span></code> n</h6> |
|||
<p class="comments">The order (n) of the moment. Range: n ≥ 1. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the n-th moment of the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="GetType" class="method"> |
|||
<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4> |
|||
<div class="content"> |
|||
|
|||
|
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="InvCDF" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>InvCDF</strong>(<span title="System.double">double</span> p)</h4> |
|||
<div class="content">Computes the inverse cumulative distribution (CDF) of the distribution at p, i.e. solving for P(X ≤ x) = p. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.double">double</span></code> p</h6> |
|||
<p class="comments">The location at which to compute the inverse cumulative distribution function. </p> |
|||
</div> |
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>the inverse cumulative distribution at location <var>p</var>. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Sample" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Sample</strong>()</h4> |
|||
<div class="content">Generates a sample from the truncated Pareto distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.double">double</span></code></h6> |
|||
<p>a sample from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> <strong>Samples</strong>()</h4> |
|||
<div class="content">Generates a sequence of samples from the truncated Pareto distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code></h6> |
|||
<p>a sequence of samples from the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Samples" class="method"> |
|||
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Double[]">Double[]</span> values)</h4> |
|||
<div class="content">Fills an array with samples generated from the distribution. |
|||
|
|||
|
|||
<div class="parameters"> |
|||
<h5>Parameters</h5> |
|||
|
|||
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6> |
|||
<p class="comments">The array to fill with the samples. </p> |
|||
</div> |
|||
|
|||
|
|||
</div> |
|||
</div> |
|||
<div id="ToString" class="method"> |
|||
<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4> |
|||
<div class="content">A string representation of the distribution. |
|||
|
|||
|
|||
|
|||
<div class="return"> |
|||
<h5>Return</h5> |
|||
<h6><code><span title="System.string">string</span></code></h6> |
|||
<p>a string representation of the distribution. </p> |
|||
</div> |
|||
|
|||
</div> |
|||
</div> |
|||
|
|||
<h3 class="section">Public Properties</h3> |
|||
|
|||
<div id="Entropy" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Entropy</strong> get; </h4> |
|||
<div class="content">Gets the entropy of the truncated Pareto distribution (not supported). |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Maximum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Maximum</strong> get; </h4> |
|||
<div class="content">Gets the maximum of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mean" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mean</strong> get; </h4> |
|||
<div class="content">Gets the mean of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Median" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Median</strong> get; </h4> |
|||
<div class="content">Gets the median of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Minimum" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Minimum</strong> get; </h4> |
|||
<div class="content">Gets the minimum of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Mode" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Mode</strong> get; </h4> |
|||
<div class="content">Gets the mode of the truncated Pareto distribution (not supported). |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="RandomSource" class="method"> |
|||
<h4><span title="System.Random">Random</span> <strong>RandomSource</strong> get; set;</h4> |
|||
<div class="content">Gets the random number generator which is used to draw random samples. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Scale" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Scale</strong> get; </h4> |
|||
<div class="content">Gets the scale (xm) of the distribution. Range: xm > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Shape" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Shape</strong> get; </h4> |
|||
<div class="content">Gets the shape (α) of the distribution. Range: α > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Skewness" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Skewness</strong> get; </h4> |
|||
<div class="content">Gets the skewness of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="StdDev" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>StdDev</strong> get; </h4> |
|||
<div class="content">Gets the standard deviation of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Truncation" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Truncation</strong> get; </h4> |
|||
<div class="content">Gets the truncation (T) of the distribution. Range: T > 0. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="Variance" class="method"> |
|||
<h4><span title="System.double">double</span> <strong>Variance</strong> get; </h4> |
|||
<div class="content">Gets the variance of the truncated Pareto distribution. |
|||
|
|||
</div> |
|||
</div> |
|||
<div id="footer"> |
|||
<p>Based on v4.9.0.0 of MathNet.Numerics (Math.NET Numerics)</p> |
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p> |
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<a href="../MathNet.Numerics.Providers.FourierTransform/index.htm">MathNet.Numerics.Providers.FourierTransform</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Providers.LinearAlgebra/index.htm">MathNet.Numerics.Providers.LinearAlgebra</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Providers.LinearAlgebra.OpenBlas/index.htm">MathNet.Numerics.Providers.LinearAlgebra.OpenBlas</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Random/index.htm">MathNet.Numerics.Random</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.RootFinding/index.htm">MathNet.Numerics.RootFinding</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Statistics/index.htm">MathNet.Numerics.Statistics</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Statistics.Mcmc/index.htm">MathNet.Numerics.Statistics.Mcmc</a> |
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</li> |
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</ul> |
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</div> |
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</div><div id="types"> |
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<h2 class="fixed">Types in MathNet.Numerics.Integration</h2> |
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<div class="scroll"> |
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<ul> |
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<li> |
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<a href="../MathNet.Numerics.Integration/DoubleExponentialTransformation.htm">DoubleExponentialTransformation</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm" class="current">GaussKronrodRule</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Integration/GaussLegendreRule.htm">GaussLegendreRule</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Integration/NewtonCotesTrapeziumRule.htm">NewtonCotesTrapeziumRule</a> |
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</li> |
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<li> |
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<a href="../MathNet.Numerics.Integration/SimpsonRule.htm">SimpsonRule</a> |
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</li> |
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</ul> |
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</div> |
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</div> |
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<div class="header"> |
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<p class="class"><strong>Type</strong> GaussKronrodRule</p> |
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<p><strong>Namespace</strong> MathNet.Numerics.Integration</p> |
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</div> |
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<div class="sub-header"> |
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|
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<h3 class="section">Constructors</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#.ctor">GaussKronrodRule</a></li> |
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</ul> |
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|
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<h3 class="section">Static Functions</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#ContourIntegrate">ContourIntegrate</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#Integrate">Integrate</a></li> |
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</ul> |
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<h3 class="section">Methods</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#Equals">Equals</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#GetHashCode">GetHashCode</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#GetType">GetType</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#ToString">ToString</a></li> |
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</ul> |
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|
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<h3 class="section">Properties</h3> |
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<ul> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#GaussWeights">GaussWeights</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#KronrodAbscissas">KronrodAbscissas</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#KronrodWeights">KronrodWeights</a></li> |
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<li><a href="../MathNet.Numerics.Integration/GaussKronrodRule.htm#Order">Order</a></li> |
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</ul> |
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</div> |
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<h3 class="section">Public Constructors</h3> |
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|
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<div id=".ctor" class="method"> |
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<h4> <strong>GaussKronrodRule</strong>(<span title="System.int">int</span> order)</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<h3 class="section">Public Static Functions</h3> |
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|
|||
<div id="ContourIntegrate" class="method"> |
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<h4><span title="System.Numerics.Complex">Complex</span> <strong>ContourIntegrate</strong>(<span title="System.Func<double, Complex>">Func<double, Complex></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.Double&">Double&</span> error, <span title="System.Double&">Double&</span> L1Norm, <span title="System.double">double</span> targetRelativeError, <span title="System.int">int</span> maximumDepth, <span title="System.int">int</span> order)</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<div id="Integrate" class="method"> |
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<h4><span title="System.double">double</span> <strong>Integrate</strong>(<span title="System.Func<double, double>">Func<double, double></span> f, <span title="System.double">double</span> intervalBegin, <span title="System.double">double</span> intervalEnd, <span title="System.Double&">Double&</span> error, <span title="System.Double&">Double&</span> L1Norm, <span title="System.double">double</span> targetRelativeError, <span title="System.int">int</span> maximumDepth, <span title="System.int">int</span> order)</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<h3 class="section">Public Methods</h3> |
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|
|||
<div id="Equals" class="method"> |
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<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<div id="GetHashCode" class="method"> |
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<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<div id="GetType" class="method"> |
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<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4> |
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<div class="content"> |
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</div> |
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</div> |
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<div id="ToString" class="method"> |
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<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4> |
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<div class="content"> |
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</div> |
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</div> |
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|||
<h3 class="section">Public Properties</h3> |
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|
|||
<div id="GaussWeights" class="method"> |
|||
<h4><span title="System.Double[]">Double[]</span> <strong>GaussWeights</strong> get; </h4> |
|||
<div class="content">Getter that returns a clone of the array containing the Gauss weights. |
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|||
</div> |
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</div> |
|||
<div id="KronrodAbscissas" class="method"> |
|||
<h4><span title="System.Double[]">Double[]</span> <strong>KronrodAbscissas</strong> get; </h4> |
|||
<div class="content">Getter that returns a clone of the array containing the Kronrod abscissas. |
|||
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|||
</div> |
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</div> |
|||
<div id="KronrodWeights" class="method"> |
|||
<h4><span title="System.Double[]">Double[]</span> <strong>KronrodWeights</strong> get; </h4> |
|||
<div class="content">Getter that returns a clone of the array containing the Kronrod weights. |
|||
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|||
</div> |
|||
</div> |
|||
<div id="Order" class="method"> |
|||
<h4><span title="System.int">int</span> <strong>Order</strong> get; </h4> |
|||
<div class="content">Getter for the order. |
|||
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|||
</div> |
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</div> |
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<div id="footer"> |
|||
<p>Based on v4.9.0.0 of MathNet.Numerics (Math.NET Numerics)</p> |
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<p>Generated by <a href="http://docu.jagregory.com">docu</a></p> |
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</div> |
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</body> |
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</html> |
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