Geometric |
Provides generation of geometric distributed random numbers. This is variant A, which denotes the probability that with a number
of n trials one has the first success (so the lowest value is 1).
Inheritance HierarchySystemObject
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityDiscreteDistribution
Altaxo.Calc.ProbabilityGeometricDistribution
Altaxo.Calc.ProbabilityDistribution
Altaxo.Calc.ProbabilityDiscreteDistribution
Altaxo.Calc.ProbabilityGeometricDistribution
Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3448.0 (4.8.3448.0)
SyntaxC#
public class GeometricDistribution : DiscreteDistribution
The GeometricDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | GeometricDistribution | Initializes a new instance of the GeometricDistribution class, using a StandardGenerator as underlying random number generator. |
| GeometricDistribution(Double) | Initializes a new instance of the GeometricDistribution class with the specified success probability. |
| GeometricDistribution(Generator) | Initializes a new instance of the GeometricDistribution class, using the specified Generator as underlying random number generator. |
| GeometricDistribution(Double, Generator) | Initializes a new instance of the GeometricDistribution class with the specified success probability and underlying random number generator. |
Properties| Name | Description | |
|---|---|---|
 | 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 the underlying random number generator.
(Inherited from Distribution) |
| Maximum |
Gets the maximum possible value of distributed random numbers.
(Overrides DistributionMaximum) |
| Mean |
Gets the mean of distributed random numbers.
(Overrides DistributionMean) |
| Median |
Gets the median of distributed random numbers.
(Overrides DistributionMedian) |
| Minimum |
Gets the minimum possible value of distributed random numbers.
(Overrides DistributionMinimum) |
| Mode |
Gets the mode of distributed random numbers.
(Overrides DistributionMode) |
| Probability | Gets or sets the parameter alpha which is used for generation of geometric distributed random numbers. |
| Variance |
Gets the variance of distributed random numbers.
(Overrides DistributionVariance) |
Methods| Name | Description | |
|---|---|---|
| CDF(Double) |
Returns the cumulative distribution function (CDF) evaluated at x.
(Overrides DiscreteDistributionCDF(Double)) |
 | CDF(Double, Double) | Returns the cumulative distribution function (CDF) of a geometric distribution (variant A). |
| 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 this instance with the specified probability. |
| IsValidProbability | Determines whether the specified value is valid for parameter Probability. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| Next | Returns a geometric distributed random number. |
| NextDouble |
Returns a distributed floating-point random number.
(Overrides DistributionNextDouble) |
| PDF(Double) |
Returns the probability mass function (PMF) evaluated at x.
(Overrides DiscreteDistributionPDF(Double)) |
| PDF(Double, Double) | Returns the probability mass function (PMF) of a geometric distribution (variant A). |
| Quantile | (Inherited from DiscreteDistribution) |
| 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 | |
|---|---|---|
 | generator |
Stores a Generator object that can be used as the underlying random number generator.
(Inherited from Distribution) |
Remarks
The geometric distribution generates only discrete numbers.
The implementation of the GeometricDistribution type bases upon information presented on Wikipedia - Geometric distribution and the implementation in the Communication Networks Class Library.
Please note that the geometric distribution provided by Mathematica 5.1 is variant B: the probability that n failed trials occur before first success (so the lowest value is 0 there).
The implementation of the GeometricDistribution type bases upon information presented on Wikipedia - Geometric distribution and the implementation in the Communication Networks Class Library.
Please note that the geometric distribution provided by Mathematica 5.1 is variant B: the probability that n failed trials occur before first success (so the lowest value is 0 there).
See Also