Poisson Distribution

Poisson Distribution
A statistical distribution showing the frequency probability of specific events when the average probability of a single occurrence is known. The Poisson distribution is a discrete function.

For example, if the average number of people that rent movies on a friday night at a single video store location is 400, a Poisson distribution can answer such questions as, "What is the probability that more than 600 people will rent movies?" Therefore, application of the Poisson distribution enables managers to introduce optimal scheduling systems. One of the most famous historical practical uses of the Poisson distribution was estimating the annual number of Prussian cavalry soldiers killed due to horse-kicks. Other modern examples include estimating the number of car crashes in a city of a given size; in physiology, this distribution is often used to calculate the probabilistic frequencies of different types of neurotransmitter secretions.


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  • Poisson distribution — [pwä sōn′, pwäsōn′] n. [after S. D. Poisson (1781 1840), Fr mathematician] Statistics a frequency distribution that may be regarded as an approximation of the binomial distribution when the number of events becomes large and the probability of… …   English World dictionary

  • Poisson distribution — /pwah sohn /; Fr. /pwann sawonn /, Statistics. a limiting form of the binomial probability distribution for small values of the probability of success and for large numbers of trials: particularly useful in industrial quality control work and in… …   Universalium

  • Poisson distribution — see frequency distribution S. D. Poisson (1781 1840), French mathematician * * * the probability distribution that describes counts of events randomly distributed in time or space, such as radioactive decay or blood cell counts. The probability… …   Medical dictionary

  • Poisson distribution — * cite journal author=Joachim H. Ahrens, Ulrich Dieter title=Computer Generation of Poisson Deviates journal=ACM Transactions on Mathematical Software year=1982 volume=8 issue=2 pages=163 179 doi=10.1145/355993.355997* cite journal author=Ronald… …   Wikipedia

  • Poisson distribution — Puasono skirstinys statusas T sritis Standartizacija ir metrologija apibrėžtis Retų įvykių skirstinys. atitikmenys: angl. Poisson distribution vok. Poissonsche Verteilung, f; Poisson Verteilung, f rus. распределение Пуассона, n pranc.… …   Penkiakalbis aiškinamasis metrologijos terminų žodynas

  • Poisson distribution — Puasono skirstinys statusas T sritis fizika atitikmenys: angl. Poisson distribution vok. Poissonsche Verteilung, f; Poisson Verteilung, f rus. распределение Пуассона, n pranc. distribution de Poisson, f …   Fizikos terminų žodynas

  • Poisson distribution — [ pwʌsɒPoisson distribution] noun Statistics a discrete frequency distribution which gives the probability of a number of independent events occurring in a fixed time. Origin named after the French mathematical physicist Siméon Denis Poisson… …   English new terms dictionary

  • Poisson distribution — distribution probability that represents the happening of unusual events in a large number of trials …   English contemporary dictionary

  • Poisson distribution — noun Etymology: Siméon D. Poisson died 1840 French mathematician Date: 1922 a probability density function that is often used as a mathematical model of the number of outcomes obtained in a suitable interval of time and space, that has its mean… …   New Collegiate Dictionary

  • Poisson distribution — Pois•son′ distribu tion [[t]pwɑˈsoʊn, ˈsɔ̃[/t]] n. sta a probability distribution whose mean and variance are identical • Etymology: 1920–25; after S. D. Poisson (1781–1840), French mathematician and physicist …   From formal English to slang

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