A semigroup-theoretic proof of Poisson's limit law.
Dietrich Pfeifer (1983)
Semigroup forum
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Dietrich Pfeifer (1983)
Semigroup forum
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M.L. Puri, D. Pfeifer, P. Deheuvels (1989)
Semigroup forum
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W. Klonecki (1971)
Applicationes Mathematicae
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Vaisman, I. (1999)
Acta Mathematica Universitatis Comenianae. New Series
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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.
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...
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.
Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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Mikami, Kentaro (1999)
Lobachevskii Journal of Mathematics
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D. Pfeifer (1985)
Semigroup forum
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Jinn-Liang Liu, Dexuan Xie, Bob Eisenberg (2017)
Molecular Based Mathematical Biology
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We present a nonlocal electrostatic formulation of nonuniform ions and water molecules with interstitial voids that uses a Fermi-like distribution to account for steric and correlation efects in electrolyte solutions. The formulation is based on the volume exclusion of hard spheres leading to a steric potential and Maxwell’s displacement field with Yukawa-type interactions resulting in a nonlocal electric potential. The classical Poisson-Boltzmann model fails to describe steric and correlation...
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.
Alan Weinstein (2000)
Banach Center Publications
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