### Definition of Poisson distribution

1. Noun. A theoretical distribution that is a good approximation to the binomial distribution when the probability is small and the number of trials is large.

Generic synonyms: Distribution, Statistical Distribution
Category relationships: Statistics

### Definition of Poisson distribution

1. Noun. (statistics) A limit of the binomial distribution for very large numbers of trials and a small probability of success. ¹

¹ Source: wiktionary.com

### Medical Definition of Poisson distribution

1. The distribution which arises when parasites are distributed at random amongst hosts. (05 Dec 1998)

### Poisson Distribution Pictures

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### Lexicographical Neighbors of Poisson Distribution

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### Literary usage of Poisson distribution

Below you will find example usage of this term as found in modern and/or classical literature:

1. Topics in Statistical Dependence by Henry W. Block, Allan R. Sampson, Thomas H. Savits (1990)
"From Theorem 2.8, it follows that the bivariate poisson distribution of (13) is ... A different construction of a bivariate poisson distribution starts with ..."

2. Multivariate Analysis and Its Applications by Theodore Wilbur Anderson, Kʻai-tʻai Fang, Ingram Olkin (1994)
"This bivariate distribution also arises from the construction X = U + W, Y = U + W, where U, V, W are independent, each having a poisson distribution with ..."

3. Generalized Linear Mixed Models by Charles E. McCulloch (2003)
"However, it does not have a marginal poisson distribution since it is "over-dispersed" compared to a poisson distribution. That is, its variance is greater ..."

4. SAS(R) 9.1.3 Language Reference:: Dictionary, Fifth Edition, Volumes 1-4 by SAS Institute (2006)
"Range: m > 0 The CDF function for the poisson distribution returns the probability that an observation from a poisson distribution, with mean TO, ..."

5. Approximate Computation of Expectations by Charles Stein (1986)
"LECTURE VIII, POISSON APPROXIMATIONS An example of approximation by the Poisson distribution has already been given in the seventh lecture. ..."

6. State of the Art in Probability and Statistics: Festschrift for Willem R by Mathisca de Gunst, Chris Klaassen, A. W. van der Vaart (2001)
"Let My; //), hNB(y, V, «) denote the probability of value y in respectively a poisson distribution of mean p. and a negative binomial distribution of mean ..."

7. Statistical Inference from Genetic Data on Pedigrees by Elizabeth A. Thompson (2000)
"(3) Although the Sturt count-location model has no renewal process analogue, the truncated poisson distribution does (Browning, 1999). ..."