PoissonDistribution Class

Represented a Poisson distribution.

Definition

Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.2.0+6d77d64445f7d5d91b12e331399c4362ecb25333
C#
public sealed class PoissonDistribution : DiscreteDistribution
Inheritance
Object    UnivariateDistribution    DiscreteDistribution    PoissonDistribution

Remarks

If events occur independely at uniformly distributed random times, the Poisson distribution gives the probabability distribution of the number of events than occur in a given time interval. If on average μ events occur in the time interval the number of actual events that occur is Poisson distributed with parameter μ.

The Poisson distribution has the unusual property that the distribution of a sum of Poisson distributed values itself has a poisson distribution, with a mean equal to the sum of the means of the contributing addends.

Constructors

PoissonDistribution Creates a new instance of a Poisson distribution.

Properties

ExcessKurtosis Gets the excess kurtosis of the distribution.
(Overrides UnivariateDistributionExcessKurtosis)
Mean Gets the mean of the distribution.
(Overrides DiscreteDistributionMean)
Skewness Gets the skewness of the distribution.
(Overrides UnivariateDistributionSkewness)
StandardDeviation Gets the standard deviation of the distribution.
(Inherited from UnivariateDistribution)
Support Gets the interval over which the distribution is non-vanishing.
(Overrides DiscreteDistributionSupport)
Variance Gets the variance of the distribution.
(Overrides UnivariateDistributionVariance)

Methods

CentralMoment Gets a central moment of the distribution.
(Overrides DiscreteDistributionCentralMoment(Int32))
Cumulant Computes a cumulant of the distribution.
(Overrides UnivariateDistributionCumulant(Int32))
EqualsDetermines whether the specified object is equal to the current object.
(Inherited from Object)
ExpectationValue Computes the expectation value of an artibrary function.
(Inherited from DiscreteDistribution)
GetHashCodeServes as the default hash function.
(Inherited from Object)
GetRandomValue Produces a random integer drawn from the distribution.
(Overrides DiscreteDistributionGetRandomValue(Random))
GetTypeGets the Type of the current instance.
(Inherited from Object)
InverseLeftProbability Computes the value corresponding to the given percentile.
(Overrides DiscreteDistributionInverseLeftProbability(Double))
LeftExclusiveProbability Computes the probability of obtaining a value less than the given value.
(Overrides DiscreteDistributionLeftExclusiveProbability(Int32))
LeftInclusiveProbability Computes the probability of obtaining a value less than or equal to the given value.
(Overrides DiscreteDistributionLeftInclusiveProbability(Int32))
ProbabilityMass Returns the probability of the obtaining the given value.
(Overrides DiscreteDistributionProbabilityMass(Int32))
RawMoment Gets a raw moment of the distribution.
(Overrides DiscreteDistributionRawMoment(Int32))
RightExclusiveProbability Computes the probability of obtaining a value greater than the given value.
(Overrides DiscreteDistributionRightExclusiveProbability(Int32))
ToStringReturns a string that represents the current object.
(Inherited from Object)

See Also