GammaDistribution Class

Class GammaDistribution represents the gamma probability distribution.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreProbabilityDistribution
CenterSpace.NMath.CoreGammaDistribution

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.3

Syntax

C++

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[SerializableAttribute]
public class GammaDistribution : ProbabilityDistribution, 
	IRandomVariableMoments

<SerializableAttribute>
Public Class GammaDistribution
	Inherits ProbabilityDistribution
	Implements IRandomVariableMoments

[SerializableAttribute]
public ref class GammaDistribution : public ProbabilityDistribution, 
	IRandomVariableMoments

[<SerializableAttribute>]
type GammaDistribution =  
    class
        inherit ProbabilityDistribution
        interface IRandomVariableMoments
    end

The GammaDistribution type exposes the following members.

Constructors

	Name	Description
	GammaDistribution	Default constructor. Constructs a GammaDistribution instance with alpha and beta equal to 1.
	GammaDistribution(Double, Double)	Constructs a GammaDistribution instance with the given alpha and beta.

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Properties

	Name	Description
	Alpha	Gets and sets the alpha shape parameter.
	Beta	Gets and sets the beta shape parameter.
	Kurtosis	Gets the kurtosis, a measure of the degree of peakednesss of the distribution.
	Mean	Gets the mean of the distribution.
	Skewness	Gets the skewness, a measure of the degree of asymmetry of this distribution.
	Variance	Gets the variance of the distribution.

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Methods

	Name	Description
	CDF	Returns the cumulative density function evaluated at a given value. (Overrides ProbabilityDistributionCDF(Double).)
	Clone	Creates a deep copy of this GammaDistribution. (Overrides ProbabilityDistributionClone.)
	InverseCDF	Returns the inverse cumulative density function evaluated at a given value. (Overrides ProbabilityDistributionInverseCDF(Double).)
	InverseCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions. (Inherited from ProbabilityDistribution.)
	InverseDiscreteCdfUsingBracket	Uses a bracketing method to evaluate the inverse of cumulative distribution functions for discrete distributions. (Inherited from ProbabilityDistribution.)
	PDF	Returns the probability density function evaluated at a given value. (Overrides ProbabilityDistributionPDF(Double).)
	ToString	Returns a formatted string representation of this distribution. (Overrides ProbabilityDistributionToString.)

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Remarks

The gamma distribution is a family of curves with two free parameters: alpha and beta. When alpha is large, the gamma distribution closely approximates a normal distribution.

Reference

CenterSpace.NMath.Core Namespace