Results 221 to 230 of about 39,418 (264)

Poisson Generated Family of Distributions: A Review

Sankhya B, 2020
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Maurya, Sandeep Kumar, Nadarajah, Saralees   +1 more
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A Generalized Poisson Distribution

Communications in Statistics - Theory and Methods, 2013
Cumulative probabilities of a Poisson distribution can be written in terms of incomplete gamma function where the parameter of the gamma function is an integer. From this definition a new generalization of the Poisson distribution is obtained with two parameters. Asymptotic behavior of this distribution is shown to be normal.
Nimai Kumar Chandra, Dilip Roy, Tirthankar Ghosh   +2 more
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A Generalization of the Poisson Distribution

Technometrics, 1973
A 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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A class of generalized Poisson distributions

1999
In these paper we introduce a new class of exponential sums from which various known as well as new exponential sums are generated. Then a class of generalized Poisson distributions is defined (GPDs). Some well known and new distributions are obtained from GPDs. Some recurrence relations of the parameters of these distributions is studied.
Nandi, S. B., Nath, D. C., Das, K. K.
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Generalized poisson distributions

Annals of the Institute of Statistical Mathematics, 1957
Poisson 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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Generalized poisson distribution on groups

Journal of Soviet Mathematics, 1983
Let X be a locally compact Abelian separable metric group, \(e(F)=\exp\{- F(X)\}(E_ 0+F+((F^{*2}/2!)+...)\) be the generalized Poisson distribution associated with a finite measure F and \(I_ 0\) be a class of distributions without indecomposable or idempotent divisors. Theorem 1.
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Conditionally in Bivariate Generalized Poisson Distributions

Biometrical Journal, 1983
Three types of bivariate generalized Poisson distributions are defined and the structure of their conditional distributions is examined by using the Faa Di Bruno's formula. The resulting expressions involve Bell polynomials and can be interpreted in terms of convoluted random variables with one of the convolutes having the form of the marginal ...
Papageorgiou, H., Kemp, C. D.
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Generalized Poisson Distribution: the Property of Mixture of Poisson and Comparison with Negative Binomial Distribution

Biometrical Journal, 2005
We prove that the generalized Poisson distribution GP(theta, eta) (eta > or = 0) is a mixture of Poisson distributions; this is a new property for a distribution which is the topic of the book by Consul (1989). Because we find that the fits to count data of the generalized Poisson and negative binomial distributions are often similar, to understand ...
Harry, Joe, Rong, Zhu
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Generalized Poisson Distribution

1977
To obtain the distribution of the general risk process it is necessary to have as an auxiliary function the distribution function S(z) of the size of a claim. The function S(z) gives the probability that, when a claim occurs in an insurance portfolio, it is of amount ≦ z.
Robert Eric Beard, Teivo Pentikäinen, Erkki Pesonen   +2 more
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Moment Characteristics of the Compound Poisson Law Generalized by the Poisson Distribution

Computational Mathematics and Modeling, 2004
The authors study a compound Poisson law generalized by a Poisson distribution. For the weighted sum \(\zeta = \zeta_1+2\zeta_2+\cdots +k\zeta_k\) of \(k\) independent Poisson random variables, they consider the conditional random variable \(\xi/\zeta\) following the Poisson distribution with parameter \(\epsilon\zeta ...
Belov, A. G., Galkin, V. Ya.
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