FisherSnedecorDistribution Class

Provides generation of Fisher-Snedecor distributed random numbers.

Inheritance Hierarchy

SystemObject
  Altaxo.Calc.ProbabilityDistribution
    Altaxo.Calc.ProbabilityContinuousDistribution
      Altaxo.Calc.ProbabilityFisherSnedecorDistribution
        Altaxo.Calc.ProbabilityFDistribution

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)

Syntax

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public class FisherSnedecorDistribution : ContinuousDistribution

The FisherSnedecorDistribution type exposes the following members.

Constructors

	Name	Description
	FisherSnedecorDistribution	Initializes a new instance of the FisherSnedecorDistribution class, using a StandardGenerator as underlying random number generator.
	FisherSnedecorDistribution(Generator)	Initializes a new instance of the FisherSnedecorDistribution class, using the specified Generator as underlying random number generator.
	FisherSnedecorDistribution(Double, Double)	Initializes a new instance of the FisherSnedecorDistribution class
	FisherSnedecorDistribution(Double, Double, Generator)	Initializes a new instance of the FisherSnedecorDistribution class

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Properties

	Name	Description
	Alpha	Gets or sets the parameter alpha which is used for generation of Fisher-Snedecor distributed random numbers.
	Beta	Gets or sets the parameter beta which is used for generation of Fisher-Snedecor 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)
	Maximum	Gets the maximum possible value of Fisher-Snedecor distributed random numbers. (Overrides DistributionMaximum)
	Mean	Gets the mean value of Fisher-Snedecor distributed random numbers. (Overrides DistributionMean)
	Median	Gets the median of Fisher-Snedecor distributed random numbers. (Overrides DistributionMedian)
	Minimum	Gets the minimum possible value of Fisher-Snedecor distributed random numbers. (Overrides DistributionMinimum)
	Mode	Gets the mode of Fisher-Snedecor distributed random numbers. (Overrides DistributionMode)
	Variance	Gets the variance of Fisher-Snedecor distributed random numbers. (Overrides DistributionVariance)

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Methods

	Name	Description
	CDF(Double)	Returns the cumulated distribution function for value x with the distribution parameters numf and denomf. (Overrides ContinuousDistributionCDF(Double))
	CDF(Double, Double, Double)	Returns the cumulated distribution function for value x with the distribution parameters numf and denomf.
	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.
	IsValidBeta	Determines whether the specified value is valid for parameter Beta.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	NextDouble	Returns a Fisher-Snedecor distributed floating point random number. (Overrides DistributionNextDouble)
	PDF(Double)	Returns the probability density function for value x with the distribution parameters p and q. (Overrides ContinuousDistributionPDF(Double))
	PDF(Double, Double, Double)	Returns the probability density function for value x with the distribution parameters p and q.
	Quantile(Double)	Quantile of the F-distribution. (Overrides ContinuousDistributionQuantile(Double))
	Quantile(Double, Double, Double)	Quantile of the F-distribution.
	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)

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Fields

	Name	Description
	generator	Stores a Generator object that can be used as underlying random number generator. (Inherited from Distribution)

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Remarks

The implementation of the FisherSnedecorDistribution type bases upon information presented on Wikipedia - F-distribution.

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Return F-distributed (variance ratio distributed) random deviates
with n numerator degrees of freedom and d denominator degrees of freedom
according to the density:

  p   (x) dx =  ... dx
   a,b

Both paramters alpha and beta must be positive.

Method: The random numbers are directly generated from ratios of
        ChiSquare variates according to:

 F = (ChiSquare(alpha)/alpha) / (ChiSquare(beta)/beta)

Reference

Altaxo.Calc.Probability Namespace