This article is cited in 2 papers

Large Deviations in the Approximation by the Poisson Law

A. K. Aleshkyavichene, V. Statulevičius

Institute of Mathematics and Informatics

Abstract: We study large deviation probabilities not requiring integrality of the random variables under consideration, which is assumed in almost all the works on a refinement of the limit theorem in the case of simple and compound Poisson limit theorems.

Keywords: Poisson law, large deviations, factorial moments, factorial cumulants.

Received: 25.08.2000
Revised: 25.01.2001

DOI: 10.4213/tvp3791

 English version: Theory of Probability and its Applications, 2002, 46:4, 589–602

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