Gamma |
Generates Gamma distributed random numbers.
Inheritance HierarchySystemObject
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityContinuousDistribution
Altaxo.Calc.ProbabilityGammaDistribution
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityContinuousDistribution
Altaxo.Calc.ProbabilityGammaDistribution
Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
SyntaxC#
public class GammaDistribution : ContinuousDistribution
The GammaDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | GammaDistribution | Initializes a new instance of the GammaDistribution class |
| GammaDistribution(Generator) | Initializes a new instance of the GammaDistribution class |
| GammaDistribution(Double, Double) | Initializes a new instance of the GammaDistribution class |
| GammaDistribution(Double, Double, Generator) | Initializes a new instance of the GammaDistribution class |
Properties| Name | Description | |
|---|---|---|
 | Alpha | Gets or sets the parameter alpha which is used for generation of gamma distributed random numbers. |
| CanReset |
Gets a value indicating whether the random number distribution can be reset, so that it produces the same
random number sequence again.
(Inherited from Distribution) |
| Generator |
Gets or sets a Generator object that can be used as underlying random number generator.
(Inherited from Distribution) |
| Location | |
| Maximum |
Gets the maximum possible value of gamma distributed random numbers.
(Overrides DistributionMaximum) |
| Mean |
Gets the mean value of gamma distributed random numbers.
(Overrides DistributionMean) |
| Median |
Gets the median of gamma distributed random numbers.
(Overrides DistributionMedian) |
| Minimum |
Gets the minimum possible value of gamma distributed random numbers.
(Overrides DistributionMinimum) |
| Mode |
Gets the mode of gamma distributed random numbers.
(Overrides DistributionMode) |
| Order | |
| Theta | Gets or sets the parameter theta which is used for generation of gamma distributed random numbers. |
| Variance |
Gets the variance of gamma distributed random numbers.
(Overrides DistributionVariance) |
Methods| Name | Description | |
|---|---|---|
| CDF(Double) | (Overrides ContinuousDistributionCDF(Double)) |
 | CDF(Double, Double, 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 | |
| IsValidAlpha | Determines whether the specified value is valid for parameter Alpha. |
| IsValidTheta | Determines whether the specified value is valid for parameter Theta. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| NextDouble | (Overrides DistributionNextDouble) |
| PDF(Double) | (Overrides ContinuousDistributionPDF(Double)) |
| PDF(Double, Double, Double) | |
| Quantile(Double) | (Overrides ContinuousDistributionQuantile(Double)) |
| Quantile(Double, Double, Double) | |
| Reset |
Resets the random number distribution, so that it produces the same random number sequence again.
(Inherited from Distribution) |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
Fields| Name | Description | |
|---|---|---|
 | _invTheta | |
| algorithmGD | |
| alpha | |
| b | |
| c | |
| d | |
| exponentialDistribution | |
| generator |
Stores a Generator object that can be used as underlying random number generator.
(Inherited from Distribution) |
| normalDistribution | |
| q0 | |
| r | |
| s | |
| s2 | |
| scale | |
| si | |
| theta |
RemarksC#
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