A modified Poisson distribution
Raghavendra Krishna, Varahamurti (1967)
Portugaliae mathematica
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Raghavendra Krishna, Varahamurti (1967)
Portugaliae mathematica
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Katarzyna Steliga, Dominik Szynal (2015)
Applicationes Mathematicae
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In this paper we introduce compound α(t)-modified Poisson distributions. We obtain the compound Delaporte distribution as the special case of the compound α(t)-modified Poisson distribution. The characteristics of α(t)-modified Poisson and some compound distributions with gamma, exponential and Panjer summands are presented.
Z. Schenková (1982)
Acta Universitatis Carolinae. Mathematica et Physica
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M. Majsnerowska (1998)
Applicationes Mathematicae
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One more method of Poisson approximation is presented and illustrated with examples concerning binomial, negative binomial and hypergeometric distributions.
W. Klonecki (1971)
Applicationes Mathematicae
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Götze, F., Zaitsev, A.Yu. (2004)
Zapiski Nauchnykh Seminarov POMI
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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Aldona Aleškevičienė, Vytautas Statulevičius (2005)
Discussiones Mathematicae Probability and Statistics
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We present here the results of the investigation on approximation by the Poisson law of distributions of sums of random variables in the scheme of series. We give the results pertaining to the behaviour of large deviation probabilities and asymptotic expansions, to the method of cumulants, with the aid of which our results have been obtained.
Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Teugels, Jozef L., Vynckier, Petra (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Vernic, Raluca (2001)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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S. Trybuła (1972)
Applicationes Mathematicae
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