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Generalized Poisson Functionals

Probability Theory and Related Fields, 1988
With the aim of treating nonlinear systems with inputs being discrete and outputs being generalized functions, generalized Poisson functionals are defined and analysed, where the U-transforms and the renormalizations play essential roles. For Poisson functionals, the differential operators with respect to a Poisson white noise Ṗ(t), their adjoint ...
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Poisson Random Variate Generation

Applied Statistics, 1991
Summary: The paper examines the problem of generating Poisson random variates when the parameter \(\lambda\) may vary from call to call. A new algorithm based on a unidirectional search from the mode is proposed; the modal probability and modal cumulative probability, when required, are calculated by simple and rapid, yet extremely accurate, asymptotic
Kemp, C. D., Kemp, A. W.
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ON THE UNIMODALITY OF GENERALIZED POISSON DISTRIBUTION

Statistica Neerlandica, 1986
Abstract. The unimodality property is very important in many statistical problems. In this paper, it is shown that the generalized Poisson distribution is unimodal. Upper and lower bounds to the mode are given.
Consul, P. C., Famoye, F.
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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 ensemble

Physica A: Statistical Mechanics and its Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rongrong Xie   +3 more
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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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On the generalized Poisson and linear function Poisson distribution

2013
Questo saggio tratta della distribuzione di Poisson generalizzata e della distribuzione della funzione lineare di Poisson. Si dimostra che ciascuna distribuzione può offrire informazioni sull'altra e che non è necessaria un'analisi separata, come fanno Jain (Biometrical Journal, 1975) e Consul (Technometrics, 1973). Nel saggio vengono date le relazioni
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Generalized HPC method for the Poisson equation

Journal of Computational Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrea Bardazzi   +4 more
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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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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   +2 more
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