// <copyright file="IContinuousDistribution.cs" company="Math.NET">
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// Math.NET Numerics, part of the Math.NET Project
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// http://numerics.mathdotnet.com
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// http://github.com/mathnet/mathnet-numerics
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//
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// Copyright (c) 2009-2014 Math.NET
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//
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// Permission is hereby granted, free of charge, to any person
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// obtaining a copy of this software and associated documentation
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// </copyright>
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namespace IStation.Numerics.Distributions
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{
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using System.Collections.Generic;
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/// <summary>
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/// Continuous Univariate Probability Distribution.
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/// </summary>
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/// <seealso cref="IDiscreteDistribution"/>
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public interface IContinuousDistribution : IUnivariateDistribution
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{
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/// <summary>
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/// Gets the mode of the distribution.
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/// </summary>
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double Mode { get; }
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/// <summary>
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/// Gets the smallest element in the domain of the distribution which can be represented by a double.
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/// </summary>
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double Minimum { get; }
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/// <summary>
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/// Gets the largest element in the domain of the distribution which can be represented by a double.
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/// </summary>
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double Maximum { get; }
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/// <summary>
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/// Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
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/// </summary>
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/// <param name="x">The location at which to compute the density.</param>
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/// <returns>the density at <paramref name="x"/>.</returns>
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double Density(double x);
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/// <summary>
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/// Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
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/// </summary>
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/// <param name="x">The location at which to compute the log density.</param>
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/// <returns>the log density at <paramref name="x"/>.</returns>
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double DensityLn(double x);
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/// <summary>
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/// Draws a random sample from the distribution.
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/// </summary>
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/// <returns>a sample from the distribution.</returns>
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double Sample();
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/// <summary>
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/// Fills an array with samples generated from the distribution.
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/// </summary>
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void Samples(double[] values);
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/// <summary>
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/// Draws a sequence of random samples from the distribution.
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/// </summary>
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/// <returns>an infinite sequence of samples from the distribution.</returns>
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IEnumerable<double> Samples();
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}
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}
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