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ChiSquareDistribution Class

Generates central chi-square distributed random numbers.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.ProbabilityDistribution
    Altaxo.Calc.ProbabilityContinuousDistribution
      Altaxo.Calc.ProbabilityChiSquareDistribution

Namespace: Altaxo.Calc.Probability
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3179.0 (4.8.3179.0)
Syntax
C#
public class ChiSquareDistribution : ContinuousDistribution

The ChiSquareDistribution type exposes the following members.

Constructors
 NameDescription
Public methodChiSquareDistributionInitializes a new instance of the ChiSquareDistribution class
Public methodChiSquareDistribution(Double)Initializes a new instance of the ChiSquareDistribution class
Public methodChiSquareDistribution(Generator)Initializes a new instance of the ChiSquareDistribution class
Public methodChiSquareDistribution(Double, Generator)Initializes a new instance of the ChiSquareDistribution class
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Properties
 NameDescription
Public propertyAlpha Gets or sets the parameter alpha which is used for generation of chi-square distributed random numbers.
Public propertyCanReset 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)
Public propertyFreedom 
Public propertyGenerator Gets or sets a Generator object that can be used as underlying random number generator.
(Inherited from Distribution)
Public propertyMaximum Gets the maximum possible value of chi-square distributed random numbers.
(Overrides DistributionMaximum)
Public propertyMean Gets the mean value of chi-square distributed random numbers.
(Overrides DistributionMean)
Public propertyMedian Gets the median of chi-square distributed random numbers.
(Overrides DistributionMedian)
Public propertyMinimum Gets the minimum possible value of chi-square distributed random numbers.
(Overrides DistributionMinimum)
Public propertyMode Gets the mode of chi-square distributed random numbers.
(Overrides DistributionMode)
Public propertyVariance Gets the variance of chi-square distributed random numbers.
(Overrides DistributionVariance)
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Methods
 NameDescription
Public methodCDF(Double)
(Overrides ContinuousDistributionCDF(Double))
Public methodStatic memberCDF(Double, 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)
Public methodInitialize 
Public methodIsValidAlpha Determines whether the specified value is valid for parameter Alpha.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodNextDouble
(Overrides DistributionNextDouble)
Public methodPDF(Double)
(Overrides ContinuousDistributionPDF(Double))
Public methodStatic memberPDF(Double, Double) 
Public methodQuantile(Double)
(Overrides ContinuousDistributionQuantile(Double))
Public methodStatic memberQuantile(Double, Double) 
Public methodReset Resets the random number distribution, so that it produces the same random number sequence again.
(Inherited from Distribution)
Public methodToStringReturns a string that represents the current object.
(Inherited from Object)
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Fields
 NameDescription
Protected fieldF 
Protected fieldgamma 
Protected fieldgenerator Stores a Generator object that can be used as underlying random number generator.
(Inherited from Distribution)
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Remarks
C#
Generates random deviates from a central chi-square distribution with
f degrees of freedom. f must be positive.
The density of this distribution is:


               -f/2   f/2-1  -x/2
              2      x      e
 p (x) dx =  --------------------- dx  for x > 0
  f               Gamma(f/2)

          =  0                         otherwise

The calculation uses the relation between chi-square and gamma distribution:

 ChiSquare(f) = GammaDistribution(f/2,1/2)

References:
   K. Behnen, G. Neuhaus, "Grundkurs Stochastik", Teubner Studienbuecher
   Mathematik, Teubner Verlag, Stuttgart, 1984.
See Also