# Poisson distribution

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Related to Poisson distribution: binomial distribution, Poisson process

## Pois·son distribution

(pwä-sôN′)*n.*

*Statistics*

A probability distribution which arises when counting the number of occurrences of a rare event in a long series of trials.

[After Siméon Denis Poisson

*(1781-1840), French mathematician*.]## Poisson distribution

(ˈpwɑːsən)*n*

(Statistics)

*statistics*a distribution that represents the number of events occurring randomly in a fixed time at an average rate*λ*; symbol*P*0(*λ*). For large*n*and small*p*with*np*=*λ*it approximates to the binomial distribution*Bi*(*n,p*)[C19: named after S. D. Poisson]

## Pois•son′ distribu`tion

(pwɑˈsoʊn, -ˈsɔ̃)*n.*

a probability distribution whose mean and variance are identical.

[1920–25; after S. Dutch.

*Poisson*(1781–1840), French mathematician and physicist]ThesaurusAntonymsRelated WordsSynonyms

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Noun | 1. | Poisson distribution - a theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is largedistribution, statistical distribution - (statistics) an arrangement of values of a variable showing their observed or theoretical frequency of occurrence statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters |

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