PoissonDistribution Class

Generates Poisson distributed random numbers.

Inheritance Hierarchy

SystemObject
Altaxo.Calc.Probability.OldProbabilityDistribution
Altaxo.Calc.Probability.OldPoissonDistribution

Namespace: Altaxo.Calc.Probability.Old
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)

Syntax

Copy

public class PoissonDistribution : ProbabilityDistribution

The PoissonDistribution type exposes the following members.

Constructors

	Name	Description
	PoissonDistribution(Double)	Initializes a new instance of the PoissonDistribution class.
	PoissonDistribution(Double, RandomGenerator)	Initializes a new instance of the PoissonDistribution class.

Top

Properties

	Name	Description
	Generator	Returns the random generator used by the distribution to generate the random values. (Inherited from ProbabilityDistribution)

Top

Methods

	Name	Description
	CDF(Double)	Gives the cumulative probability at x. (Overrides ProbabilityDistributionCDF(Double))
	CDF(Double, Double)	Returns the cumulative distribution function for the specified value and mean.
	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 the parameters for the Poisson distribution.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object)
	NextDouble	Generates a random value distributed according to the distribution. (Overrides ProbabilityDistributionNextDouble)
	PDF(Double)	Gives the probability density at x. (Overrides ProbabilityDistributionPDF(Double))
	PDF(Double, Double)	Returns the probability density function for the specified value and mean.
	Quantile	Gives the pth quantile of the distribution. (Overrides ProbabilityDistributionQuantile(Double))
	ToString	Returns a string that represents the current object. (Inherited from Object)

Top

Fields

	Name	Description
	alm	Cached coefficients used by the Poisson distribution implementation.
	g	Cached coefficients used by the Poisson distribution implementation.
	generator	Pointer to generator. (Inherited from ProbabilityDistribution)
	m	Cached coefficients used by the Poisson distribution implementation.
	scale	Cached coefficients used by the Poisson distribution implementation.
	scalepi	Cached coefficients used by the Poisson distribution implementation.
	sq	Cached coefficients used by the Poisson distribution implementation.

Top

Remarks


             Returns a Poisson distributed deviate (integer returned in a double)
             from a distribution of mean m.
             The Poisson distribution gives the probability of a certain integer
             number m of unit rate Poisson random events occurring in a given
             interval of time x.
                                               j  -x
                          j+eps               x  e
                  integral       p (m) dm  = -------
                          j-eps   x            j !
            
             References: The method follows the outlines of:
             W. H. Press, B. P. Flannery, S. A. Teukolsky, W. T. Vetterling,
             Numerical Recipes in C, Cambridge Univ. Press, 1988.

Reference

Altaxo.Calc.Probability.Old Namespace