PoissonDistribution Class |
Represented a Poisson distribution.
Inheritance HierarchySystemObject
Meta.Numerics.Statistics.DistributionsUnivariateDistribution
Meta.Numerics.Statistics.DistributionsDiscreteDistribution
Meta.Numerics.Statistics.DistributionsPoissonDistribution
Meta.Numerics.Statistics.DistributionsUnivariateDistribution
Meta.Numerics.Statistics.DistributionsDiscreteDistribution
Meta.Numerics.Statistics.DistributionsPoissonDistribution
Namespace: Meta.Numerics.Statistics.Distributions
Assembly: Meta.Numerics (in Meta.Numerics.dll) Version: 4.1.4
SyntaxThe PoissonDistribution type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | PoissonDistribution |
Creates a new instance of a Poisson distribution.
|
Properties| Name | Description | |
|---|---|---|
 | 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| Name | Description | |
|---|---|---|
| CentralMoment |
Gets a central moment of the distribution.
(Overrides DiscreteDistributionCentralMoment(Int32).) |
| Cumulant |
Computes a cumulant of the distribution.
(Overrides UnivariateDistributionCumulant(Int32).) |
| Equals | Determines 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.) |
| GetHashCode | Serves as the default hash function. (Inherited from Object.) |
| GetRandomValue |
Produces a random integer drawn from the distribution.
(Overrides DiscreteDistributionGetRandomValue(Random).) |
| GetType | Gets 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).) |
| ToString | Returns a string that represents the current object. (Inherited from Object.) |
RemarksIf 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.
See Also