# Poisson distribution

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## 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 P0(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 WordsSynonymsLegend:
 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 occurrencestatistics - 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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References in periodicals archive ?
in a preset time interval [DELTA]t follows under ergodic conditions surprisingly accurately a Poissonian distribution (exp(-<n>) [<n>.
The Poissonian distribution of photocount statistics p(n,[DELTA]t) under ergodic conditions together with the hyperbolic relaxation function of delayed luminescence is a sufficient condition of a fully coherent photon field.

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