GammaDistribution Class

Generates Gamma distributed random numbers.

Inheritance Hierarchy

SystemObject
  Altaxo.Calc.Probability.OldProbabilityDistribution
    Altaxo.Calc.Probability.OldGammaDistribution
      Altaxo.Calc.Probability.OldChiSquareDistribution

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 GammaDistribution : ProbabilityDistribution

The GammaDistribution type exposes the following members.

Constructors

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

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Properties

	Name	Description
	Generator	Returns the random generator used by the distribution to generate the random values. (Inherited from ProbabilityDistribution)
	Location	Gets the inverse scale parameter of the distribution.
	Order	Gets the shape parameter of the distribution.

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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 gamma 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
	_invTheta	Cached coefficients used by the gamma distribution implementation.
	algorithmGD	Cached flag indicating whether algorithm GD is used.
	alpha	Cached coefficients used by the gamma distribution implementation.
	b	Cached coefficients used by the gamma distribution implementation.
	c	Cached coefficients used by the gamma distribution implementation.
	d	Cached coefficients used by the gamma distribution implementation.
	exponentialDistribution	Cached exponential helper distribution used by the gamma distribution implementation.
	generator	Pointer to generator. (Inherited from ProbabilityDistribution)
	normalDistribution	Cached helper distributions used by the gamma distribution implementation.
	q0	Cached coefficients used by the gamma distribution implementation.
	r	Cached coefficients used by the gamma distribution implementation.
	s	Cached coefficients used by the gamma distribution implementation.
	s2	Cached coefficients used by the gamma distribution implementation.
	scale	Cached coefficients used by the gamma distribution implementation.
	si	Cached coefficients used by the gamma distribution implementation.

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Remarks


             Return Gamma distributed random deviates according to:
            
                                  a-1  -bx
                            b (bx)    e
              p   (x) dx = ---------------- dx   for x > 0
               a,b             Gamma(a)
            
                         =  0                    otherwise
                                         //
             The arguments must satisfy the conditions:
             a > 0   (positive)
             b != 0  (non-zero)
            
             References:
            
             For parameter a >= 1 corresponds to algorithm GD in:
             J. H. Ahrens and U. Dieter, Generating Gamma Variates by a
             Modified Rejection Technique, Comm. ACM, 25, 1, 47-54 (1982).
             For parameter 0 < a < 1 corresponds to algorithm GS in:
             J. H. Ahrens and U. Dieter, Computer Methods for Sampling
             from Gamma, Beta, Poisson and Binomial Distributions,
             Computing, 12, 223-246 (1974).

Reference

Altaxo.Calc.Probability.Old Namespace