BUILT-IN MATHEMATICA SYMBOL

PoissonDistribution

PoissonDistribution[]
represents a Poisson distribution with mean .

Details Details

The probability for integer value in a Poisson distribution is for . »
PoissonDistribution allows to be any positive real number.
PoissonDistribution can be used with such functions as Mean, CDF, and RandomVariate. »

Examples Examples open all close all

Basic Examples (3)Basic Examples (3)

Probability density function:

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Cumulative distribution function:

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Mean and variance of a Poisson distribution are the same:

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Scope (7)Scope (7)

Applications (14)Applications (14)

Properties & Relations (11)Properties & Relations (11)

Possible Issues (2)Possible Issues (2)
Possible Issues (2)Possible Issues (2)

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See Also See Also

BinomialDistribution GammaDistribution SkellamDistribution MultivariatePoissonDistribution

Tutorials Tutorials

Discrete Distributions

Related Links Related Links

Demonstrations with PoissonDistribution (Wolfram Demonstrations Project)

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