mathnet-numerics/src/Managed/Distributions/IContinuousDistribution.cs

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namespace MathNet.Numerics.Distributions
{
    using System.Collections.Generic;

    /// <summary>
    /// The interface for continuous univariate distributions.
    /// </summary>
    public interface IContinuousDistribution : IDistribution
    {
        /// <summary>
        /// Gets the mode of the distribution.
        /// </summary>
        double Mode { get; }

        /// <summary>
        /// Gets the median of the distribution.
        /// </summary>
        double Median { get; }

        /// <summary>
        /// Gets the smallest element in the domain of the distributions which can be represented by a double.
        /// </summary>
        double Minimum { get; }

        /// <summary>
        /// Gets the largest element in the domain of the distributions which can be represented by a double.
        /// </summary>
        double Maximum { get; }

        /// <summary>
        /// The probability density of the distribution.
        /// </summary>
        /// <param name="x">The location at which to compute the density.</param>
        /// <returns>the density at <paramref name="x"/>.</returns>
        double Density(double x);

        /// <summary>
        /// The log probability density of the distribution.
        /// </summary>
        /// <param name="x">The location at which to compute the log density.</param>
        /// <returns>the log density at <paramref name="x"/>.</returns>
        double DensityLn(double x);

        /// <summary>
        /// Draws a random sample from the distribution.
        /// </summary>
        /// <returns>a sample from the distribution.</returns>
        double Sample();

        /// <summary>
        /// Draws a sequence of random samples from the distribution.
        /// </summary>
        /// <returns>a sequence of samples from the distribution.</returns>
        IEnumerable<double> Samples();
    }
}