BetaDistribution Class

Generates Beta distributed random numbers.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.Probability.OldProbabilityDistribution
Altaxo.Calc.Probability.OldBetaDistribution

Namespace: Altaxo.Calc.Probability.Old
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

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public class BetaDistribution : ProbabilityDistribution

The BetaDistribution type exposes the following members.

Constructors

	Name	Description
	BetaDistribution(Double, Double)	Initializes a new instance of the BetaDistribution class.
	BetaDistribution(Double, Double, RandomGenerator)	Initializes a new instance of the BetaDistribution class.

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Properties

	Name	Description
	A	Gets the first shape parameter.
	B	Gets the second shape parameter.
	Generator	Returns the random generator used by the distribution to generate the random values. (Inherited from ProbabilityDistribution)

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Methods

	Name	Description
	CDF	Gives the cumulative probability at x. (Overrides ProbabilityDistributionCDF(Double))
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object)
	GetHashCode	Serves as the default hash function. (Inherited from Object)
	GetType	Gets the Type of the current instance. (Inherited from Object)
	Initialize	Initializes the parameters for the beta distribution.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	NextDouble	Generates a random value distributed according to the distribution. (Overrides ProbabilityDistributionNextDouble)
	PDF	Gives the probability density at x. (Overrides ProbabilityDistributionPDF(Double))
	Quantile	Gives the pth quantile of the distribution. (Overrides ProbabilityDistributionQuantile(Double))
	ToString	Returns a string that represents the current object. (Inherited from Object)

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Fields

	Name	Description
	a	Cached coefficients used by the beta distribution implementation.
	aa	Cached shape parameters used by the beta distribution implementation.
	algorithmBB	Cached flag indicating whether algorithm BB is used.
	alpha	Cached coefficients used by the beta distribution implementation.
	b	Cached coefficients used by the beta distribution implementation.
	bb	Cached shape parameters used by the beta distribution implementation.
	beta	Cached coefficients used by the beta distribution implementation.
	delta	Cached coefficients used by the beta distribution implementation.
	gamma	Cached coefficients used by the beta distribution implementation.
	generator	Pointer to generator. (Inherited from ProbabilityDistribution)
	k1	Cached coefficients used by the beta distribution implementation.
	k2	Cached coefficients used by the beta distribution implementation.
	maxexp	Cached coefficients used by the beta distribution implementation.
	scale	Cached coefficients used by the beta distribution implementation.

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Remarks


            
             Return Beta distributed random deviates according to the density
            
                             a-1       b-1
                            x     (1-x)
              p   (x) dx = --------------- dx   for 0 < x < 1
               a,b              B(a,b)
            
                         =  0                   otherwise
            
             References:
            
             R. C. H. Cheng, Generating Beta Variates with Non-integral Shape
             Parameters, Comm. ACM, 21, 317-322 (1978). (Algorithms BB and BC).

Reference

Altaxo.Calc.Probability.Old Namespace