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1989
In lesson 17, we saw the use of the binomial as an approximation to the hypergeometric for large populations. When n is large in the binomial, we have similar problems of computation:
Gerald S. Rogers, Hung T. Nguyen
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In lesson 17, we saw the use of the binomial as an approximation to the hypergeometric for large populations. When n is large in the binomial, we have similar problems of computation:
Gerald S. Rogers, Hung T. Nguyen
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The Poisson distribution [PDF]
, 1999 The Poisson distribution is a discontinuous distribution which was described by the French mathematician Simeon Denis Poisson (1781-2013;1840) in a book published in 1837. The Poisson distribution is a particular case of the binomial distribution (chapter 17) where the probability p becomes smaller and smaller (p → 0) while the exponent k becomes ...
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Computing in Science & Engineering, 2001
Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to validate claims of discovery of new phenomena, such as a new fundamental particle (few candidate collision events among millions), a remote galaxy (few photons in ...
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Scientists and engineers often use Poisson's probability distribution to characterize the statistics of rare events whose average number is small. Using it correctly is crucial if we are to validate claims of discovery of new phenomena, such as a new fundamental particle (few candidate collision events among millions), a remote galaxy (few photons in ...
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A Generalization of the Poisson Distribution
Technometrics, 1973A new generalization of the Poisson distribution, with two parameters λ1 and λ2, is obtained as a limiting form of the generalized negative binomial distribution. The variance of the distribution is greater than, equal to or smaller than the mean according as λ2 is positive, zero or negative.
P.C. Consul, G. C. Jain
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Compound Poisson Distributions [PDF]
Journal of the Operational Research Society, 1966 (1966). Compound Poisson Distributions. Journal of the Operational Research Society: Vol. 17, No. 1, pp. 73-75.
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On Mohan's Property of the Poisson Distribution [PDF]
Biometrical Journal, 1983 Two interesting results encountered in the literature concerning the Poisson and the negative binomial distributions are due to Moran (1952) and Patil & Seshadri (1964), respectively.Morans result provided a fundamental property of the Poisson distribution.
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Generalized poisson distributions
Annals of the Institute of Statistical Mathematics, 1957Poisson distributions evidently can be treated in a unified manner by dealing with the G.P. which contains a characteristic parameterq. The properties of the PEBL, long recognized as significant in a variety of statistical applications like telephone trunking, queueing, etc., may be deduced by passage to the limitq = 1.
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On the multivariate poisson distribution
Scandinavian Actuarial Journal, 1954Abstract 1. The Bivariate Poisson. Let E denote a certain event, Ē its non-occurrence and EF the simultaneous occurrence of E and F.
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A note on poisson distribution
Proceedings of the Indian Academy of Sciences - Section A, 1943Not ...
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From the binomial to the poisson distribution
Nutrition, 1997“Probability is the reflection of man’s ignorance” as the saying goes, but all too often it is an honest reflection of the available information when dealing with the uncertainties of the future. For example, when having to choose which operation would be safest on a particular patient, surely we would choose the one that has the best chance of success.
BELLOCCO, RINO, Pagano, M.
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