C# Class NSoft.NFramework.Numerics.Distributions.Continuous.Beta

Implements the Beta distribution. For details about this distribution, see Wikipedia - Beta distribution.

There are a few special cases for the parameterization of the Beta distribution. When both shape parameters are positive infinity, the Beta distribution degenerates to a point distribution at 0.5. When one of the shape parameters is positive infinity, the distribution degenerates to a point distribution at the positive infinity. When both shape parameters are 0.0, the Beta distribution degenerates to a Bernoulli distribution with parameter 0.5. When one shape parameter is 0.0, the distribution degenerates to a point distribution at the non-zero shape parameter.

The distribution will use the System.Random by default. Users can get/set the random number generator by using the RandomSource property.

The statistics classes will check all the incoming parameters whether they are in the allowed range. This might involve heavy computation. Optionally, by setting Control.CheckDistributionParameters to false, all parameter checks can be turned off.

Inheritance: IContinuousDistribution

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Public Methods

Method	Description
Beta ( double a, double b, Func randomFactory = null ) : System	베타분포 생성자
CumulativeDistribution ( double x ) : double	확률 분포 계산을 위한 누적분포함수
Density ( double x ) : double	분포의 확률 밀도
DensityLn ( double x ) : double	분포의 로그 확률 밀도
Sample ( ) : double	분포의 무작위 값을 제공합니다.
Sample ( Random rnd, double a, double b ) : double
Samples ( ) : IEnumerable	현 분포의 무작위 값을 열거합니다.
Samples ( Random rnd, double a, double b ) : IEnumerable
ToString ( ) : string

Private Methods

Method	Description
AssertParameters ( double a, double b ) : void	베타 분포에 맞는 계수인지 확인합니다. 둘다 0보다 큰 양수여야 합니다.
SampleBeta ( Random rnd, double a, double b ) : double
SetParameters ( double a, double b ) : void

Method Details

Beta() public method

베타분포 생성자

public Beta ( double a, double b, Func randomFactory = null ) : System
a	double	Beta 함수 계수 a
b	double	Beta 함수 계수 b
randomFactory	Func	Random 인스턴스 생성자
return	System

CumulativeDistribution() public method

확률 분포 계산을 위한 누적분포함수

public CumulativeDistribution ( double x ) : double
x	double	The location at which to compute the cumulative distribution function.
return	double

Density() public method

분포의 확률 밀도

public Density ( double x ) : double
x	double
return	double

DensityLn() public method

분포의 로그 확률 밀도

public DensityLn ( double x ) : double
x	double
return	double

Sample() public method

분포의 무작위 값을 제공합니다.

public Sample ( ) : double
return	double

Sample() public static method

public static Sample ( Random rnd, double a, double b ) : double
rnd	System.Random
a	double
b	double
return	double

Samples() public method

현 분포의 무작위 값을 열거합니다.

public Samples ( ) : IEnumerable
return	IEnumerable

Samples() public static method

public static Samples ( Random rnd, double a, double b ) : IEnumerable
rnd	System.Random
a	double
b	double
return	IEnumerable

ToString() public method

public ToString ( ) : string
return	string