Asymptotic expansions in the approximation by the Poisson law
type: Item
instance of: scholarly article
title: Asymptotic expansions in the approximation by the Poisson law
zbMATH Open document ID: 0869.60031
DOI: 10.1007/BF02348820
author: V. Statulevičius
author: A. Aleškevičienė
published in: Lithuanian Mathematical Journal
publication date: 1996-12-15T00:00:00Z
review text: The objective of this paper is to obtain asymptotic expansions for the distribution \(F_{nk_n} (x)\) of sums of series of mutually independent in each series random variables, converging to the Poisson law. The authors do not assume the integrability of the random variables and construct asymptotic expansions for the distributions of sums of such variables. In doing so, they impose conditions on the growth of finite order factorial moments of random variables. In the proof they use the method of characteristic functions. In addition, they consider the case where the random variables are integral and nonnegative.
Mathematics Subject Classification ID: 60F99
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 939536
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Poisson law, factorial moments
zbMATH Keywords: factorial moments
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 939536