PoissonDistribution Class

Evaluates a Poisson probability density of a given set of data.

Inheritance Hierarchy

SystemObject
Imsl.StatPoissonDistribution

Namespace: Imsl.Stat
Assembly: ImslCS (in ImslCS.dll) Version: 6.5.2.0

Syntax

C++

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[SerializableAttribute]
public class PoissonDistribution : IProbabilityDistribution, 
	IDistribution

<SerializableAttribute>
Public Class PoissonDistribution
	Implements IProbabilityDistribution, IDistribution

[SerializableAttribute]
public ref class PoissonDistribution : IProbabilityDistribution, 
	IDistribution

[<SerializableAttribute>]
type PoissonDistribution =  
    class
        interface IProbabilityDistribution
        interface IDistribution
    end

The PoissonDistribution type exposes the following members.

Constructors

	Name	Description
	PoissonDistribution	Initializes a new instance of the PoissonDistribution class

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Methods

	Name	Description
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Eval(Double)	Fits a Poisson probability distribution to xData and returns the probability density at each value.
	Eval(Double, Object)	Evaluates a Poisson probability density function at a given point xData.
	Eval(Double, Object)	Evaluates a Poisson probability distribution with a given set of parameters at each point in xData and returns the probability density at each value.
	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 a hash function for a particular type. (Inherited from Object.)
	GetParameters	Returns the current parameters of the Poisson probability density function.
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)

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Properties

	Name	Description
	Theta	The mean number of successes in a given time period of the Poisson probability distribution.

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Remarks

PoissonDistribution evaluates the Poisson probability density of a given set of data, xData. If parameters are not supplied, the Eval method fits the Poisson probability density function by first calculating theta, $\theta$ . The Poisson probability density function is defined as:

$f(x)= \frac{\theta^{x}e^{-\theta}}{x!}\,\,\mbox{,}\,\, x \ge 0\,\,\, \mbox{and}\,\,\, \theta > 0 \mbox{.}$

The DataMining package class NaiveBayesClassifier uses PoissonDistribution as a method to train continuous data.

Reference

Imsl.Stat Namespace

Other Resources

Naive Bayes Example 1