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

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namespace MathNet.Numerics.Distributions
{
    using System;

    /// <summary>
    /// The interface for univariate distributions.
    /// </summary>
    public interface IDistribution
    {
        /// <summary>
        /// Gets or sets the random number generator which is used to generate random samples from the distribution.
        /// </summary>
        Random RandomNumberGenerator { get; set; }

        /// <summary>
        /// The mean of the distribution.
        /// </summary>
        double Mean { get; }

        /// <summary>
        /// The variance of the distribution.
        /// </summary>
        double Variance { get; }

        /// <summary>
        /// The standard deviation of the distribution.
        /// </summary>
        double StdDev { get; }

        /// <summary>
        /// The entropy of the distribution.
        /// </summary>
        double Entropy { get; }

        /// <summary>
        /// The skewness of the distribution.
        /// </summary>
        double Skewness { get; }

        /// <summary>
        /// Computes the cumulative distribution function (cdf) for this probability distribution.
        /// </summary>
        double CumulativeDistribution(double x);
    }
}