ErlangDistribution Class

Generates Erlang distributed random numbers.

Inheritance Hierarchy

SystemObject
  Altaxo.Calc.ProbabilityDistribution
    Altaxo.Calc.ProbabilityContinuousDistribution
      Altaxo.Calc.ProbabilityErlangDistribution

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 ErlangDistribution : ContinuousDistribution

The ErlangDistribution type exposes the following members.

Constructors

	Name	Description
	ErlangDistribution	Initializes a new instance of the ErlangDistribution class
	ErlangDistribution(Generator)	Initializes a new instance of the ErlangDistribution class
	ErlangDistribution(Int32, Double)	Initializes a new instance of the ErlangDistribution class
	ErlangDistribution(Int32, Double, Generator)	Initializes a new instance of the ErlangDistribution class

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Properties

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

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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.
	IsValidLambda	Determines whether the specified value is valid for parameter Lambda.
	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)

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Fields

	Name	Description
	A
	a1
	B
	generator	Stores a Generator object that can be used as underlying random number generator. (Inherited from Distribution)
	lambda
	scale
	scale2
	sq

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Remarks

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Return Erlang 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 Erlang distribution is a special case of the Gamma distribution
with integer valued order a.

References:
see references in:
W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
Numerical Recipies in C, Cambridge Univ. Press, 1988.

Reference

Altaxo.Calc.Probability Namespace