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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.]
(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)
a probability distribution whose mean and variance are identical.
[1920–25; after S. Dutch. Poisson (1781–1840), French mathematician and physicist]
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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 large|
distribution, 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