This article is cited in 1 paper

Short Communications

Approximation by the compound Poisson law

A. K. Aleshkyavichene, V. Statulevičius

Institute of Mathematics and Informatics

Abstract: We consider a specification of the convergence of distributions of sums of independent nonnegative integer random variables to the compound Poisson distribution. The theorems of large deviations and asymptotic expansion under some weak conditions are proved.

Keywords: sums of independent random variables, limit distribution, Poisson distribution, compound Poisson distribution, large deviations, asymptotic expansions.

Received: 15.03.2004

DOI: 10.4213/tvp208

 English version: Theory of Probability and its Applications, 2005, 49:3, 519–526

Bibliographic databases:

• 
• 
•