// <copyright file="IUnivariateDistribution.cs" company="Math.NET">
|
// Math.NET Numerics, part of the Math.NET Project
|
// http://numerics.mathdotnet.com
|
// http://github.com/mathnet/mathnet-numerics
|
//
|
// Copyright (c) 2009-2013 Math.NET
|
//
|
// Permission is hereby granted, free of charge, to any person
|
// obtaining a copy of this software and associated documentation
|
// files (the "Software"), to deal in the Software without
|
// restriction, including without limitation the rights to use,
|
// copy, modify, merge, publish, distribute, sublicense, and/or sell
|
// copies of the Software, and to permit persons to whom the
|
// Software is furnished to do so, subject to the following
|
// conditions:
|
//
|
// The above copyright notice and this permission notice shall be
|
// included in all copies or substantial portions of the Software.
|
//
|
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
|
// EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
|
// OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
|
// NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
|
// HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
|
// WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
|
// FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
|
// OTHER DEALINGS IN THE SOFTWARE.
|
// </copyright>
|
|
namespace IStation.Numerics.Distributions
|
{
|
/// <summary>
|
/// Univariate Probability Distribution.
|
/// </summary>
|
/// <seealso cref="IContinuousDistribution"/>
|
/// <seealso cref="IDiscreteDistribution"/>
|
public interface IUnivariateDistribution : IDistribution
|
{
|
/// <summary>
|
/// Gets the mean of the distribution.
|
/// </summary>
|
double Mean { get; }
|
|
/// <summary>
|
/// Gets the variance of the distribution.
|
/// </summary>
|
double Variance { get; }
|
|
/// <summary>
|
/// Gets the standard deviation of the distribution.
|
/// </summary>
|
double StdDev { get; }
|
|
/// <summary>
|
/// Gets the entropy of the distribution.
|
/// </summary>
|
double Entropy { get; }
|
|
/// <summary>
|
/// Gets the skewness of the distribution.
|
/// </summary>
|
double Skewness { get; }
|
|
/// <summary>
|
/// Gets the median of the distribution.
|
/// </summary>
|
double Median { get; }
|
|
/// <summary>
|
/// Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
|
/// </summary>
|
/// <param name="x">The location at which to compute the cumulative distribution function.</param>
|
/// <returns>the cumulative distribution at location <paramref name="x"/>.</returns>
|
double CumulativeDistribution(double x);
|
}
|
}
|
