BetaDistribution Class

Class BetaDistribution represents the beta probability distribution.

Inheritance Hierarchy

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

[SerializableAttribute]
public class BetaDistribution : ProbabilityDistribution, 
	IRandomVariableMoments

<SerializableAttribute>
Public Class BetaDistribution
	Inherits ProbabilityDistribution
	Implements IRandomVariableMoments

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

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

The BetaDistribution type exposes the following members.

Constructors

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

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.

Methods

	Name	Description
	CDF	Returns the cumulative density function evaluated at a given value. (Overrides ProbabilityDistributionCDF(Double))
	Clone	Creates a deep copy of this BetaDistribution. (Overrides ProbabilityDistributionClone)
	InverseCDF	Returns the inverse cumulative density function evaluated a the 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)

Remarks

Beta distributions are nonzero only on the interval (0 1). Beta distributions have two free parameters, usually labelled alpha and beta.