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Generalized Poisson Functionals
Probability Theory and Related Fields, 1988With 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, 1991Summary: 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, 1986Abstract. 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, 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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Physica A: Statistical Mechanics and its Applications, 2022
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Rongrong Xie +3 more
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Rongrong Xie +3 more
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A class of generalized Poisson distributions
1999In 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
2013Questo 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, 2015zbMATH 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, 1983Let 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, 2013Cumulative 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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