# 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 ?
This combination is naturally considered as a superposition of Gaussian noise over Poisson noise.
2 megapixel scientific CMOS camera available for life science research that actively defeats the negative impact of Poisson noise in low light images.
Poisson noise is one of the complicated noises which is very difficult from de-noising point of view.
2B-D are the background with Gaussian white noise ([sigma] = 400), Poisson noise ([alpha] = 500) and mixture of both ([sigma]= 250, [alpha] = 250).
Examples are Salt-and-Pepper noise, Poisson noise, additive Laplace noise, and different models of multiplicative noise.

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