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ArticleOriginal scientific text

Title

Approximation by Poisson law

Authors 1, 1

Affiliations

  1. Institute of Mathematics and Informatics, Akademijos 4, Vilnius 2600, Lithuania

Abstract

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.

Keywords

ENG
Poisson distribution, compound Poisson distribution, asymptotic expansions, large deviations, cumulants

Bibliography

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Discussiones Mathematicae Probability and Statistics
2005/25/2
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Pages:
161-179
Main language of publication
English
Received
2004-03-15
Accepted
2005-05-16
Published
2005

DOI: 10.7151/dmps.1067

Exact and natural sciences