C# Class NSoft.NFramework.Numerics.Distributions.Discrete.ConwayMaxwellPoisson

The Conway-Maxwell-Poisson distribution is a generalization of the Poisson, Geometric and Bernoulli distributions. It is parameterized by two real numbers "lambda" and "nu". For nu = 0 the distribution reverts to a Geometric distribution nu = 1 the distribution reverts to the Poisson distribution nu -> infinity the distribution converges to a Bernoulli distribution

This implementation will cache the value of the normalization constant. Wikipedia - ConwayMaxwellPoisson distribution.

The distribution will use the System.Random by default. Users can 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: IDiscreteDistribution

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Private Properties

Property	Type	Description
AssertParameters	void
CalcMean	double
CalcVariance	double
DoSamples	IEnumerable
Normalization	double
SetParameters	void

Public Methods

Method	Description
ConwayMaxwellPoisson ( double lambda, double nu, Func randomFactory = null ) : System	Initializes a new instance of the ConwayMaxwellPoisson class.
CumulativeDistribution ( double x ) : double	확률 분포 계산을 위한 누적분포함수
Probability ( int k ) : double	분포의 확률
ProbabilityLn ( int k ) : double	분포의 Log 확률
Sample ( ) : int	분포의 데이타를 반환합니다.
Samples ( ) : IEnumerable	분포의 무작위 데이타를 열거합니다.
ToString ( ) : string

Private Methods

Method	Description
AssertParameters ( double lambda, double nu ) : void
CalcMean ( double lambda, double nu ) : double
CalcVariance ( double lambda, double nu, double mean ) : double
DoSamples ( Random rnd, double lambda, double nu, double z ) : IEnumerable	Returns one trials from the distribution.
Normalization ( double lambda, double nu ) : double	Computes an approximate normalization constant for the CMP distribution.
SetParameters ( double lambda, double nu ) : void	Sets the parameters of the distribution after checking their validity.

Method Details

ConwayMaxwellPoisson() public method

Initializes a new instance of the ConwayMaxwellPoisson class.

public ConwayMaxwellPoisson ( double lambda, double nu, Func randomFactory = null ) : System
lambda	double
nu	double
randomFactory	Func
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

Probability() public method

분포의 확률

public Probability ( int k ) : double
k	int
return	double

ProbabilityLn() public method

분포의 Log 확률

public ProbabilityLn ( int k ) : double
k	int
return	double

Sample() public method

분포의 데이타를 반환합니다.

public Sample ( ) : int
return	int

Samples() public method

분포의 무작위 데이타를 열거합니다.

public Samples ( ) : IEnumerable
return	IEnumerable

ToString() public method

public ToString ( ) : string
return	string