Class PoissonDistribution represents a poisson distribution with a specified lambda, which is both the mean and the variance of the distribution. The poisson distribution a discrete distribution representing the probability of obtaining exactly n successes in N trials.

Namespace:  CenterSpace.NMath.Stats
Assembly:  NMathStats (in NMathStats.dll) Version: 3.4.0.0

Syntax

C#
[SerializableAttribute]
public class PoissonDistribution : ProbabilityDistribution, 
	IRandomVariableMoments
Visual Basic (Declaration)
<SerializableAttribute> _
Public Class PoissonDistribution _
	Inherits ProbabilityDistribution _
	Implements IRandomVariableMoments
Visual C++
[SerializableAttribute]
public ref class PoissonDistribution : public ProbabilityDistribution, 
	IRandomVariableMoments

Remarks

The Poisson Distribution is often used as a model for the number of events in a specific time period. The distribution function for the Poisson distribution is:
CopyC#
f(x) = exp(-1*lambda) lambda^x / x!
 Poisson (1837) showed that the Poisson distribution is the limiting case of a binomial distribution where N approaches infinity and p goes to zero while Np = lambda.

Inheritance Hierarchy

System..::.Object
  CenterSpace.NMath.Stats..::.ProbabilityDistribution
    CenterSpace.NMath.Stats..::.PoissonDistribution

See Also