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GammaDistribution Class

Generates Gamma distributed random numbers.
Inheritance Hierarchy

Namespace: Altaxo.Calc.Probability.Old
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
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public class GammaDistribution : ProbabilityDistribution

The GammaDistribution type exposes the following members.

Constructors
 NameDescription
Public methodGammaDistribution(Double, Double)Initializes a new instance of the GammaDistribution class
Public methodGammaDistribution(Double, Double, RandomGenerator)Initializes a new instance of the GammaDistribution class
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Properties
 NameDescription
Public propertyGeneratorReturns the random generator used by the distribution to generate the random values.
(Inherited from ProbabilityDistribution)
Public propertyLocation 
Public propertyOrder 
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Methods
 NameDescription
Public methodCDF
(Overrides ProbabilityDistributionCDF(Double))
Public methodEqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetHashCodeServes as the default hash function.
(Inherited from Object)
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Protected methodInitialize 
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodNextDouble
(Overrides ProbabilityDistributionNextDouble)
Public methodPDF
(Overrides ProbabilityDistributionPDF(Double))
Public methodQuantile
(Overrides ProbabilityDistributionQuantile(Double))
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
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Fields
 NameDescription
Protected field_invTheta 
Protected fieldalgorithmGD 
Protected fieldalpha 
Protected fieldb 
Protected fieldc 
Protected fieldd 
Protected fieldexponentialDistribution 
Protected fieldgeneratorPointer to generator.
(Inherited from ProbabilityDistribution)
Protected fieldnormalDistribution 
Protected fieldq0 
Protected fieldr 
Protected fields 
Protected fields2 
Protected fieldscale 
Protected fieldsi 
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Remarks
C#
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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).
See Also