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Teoriya Veroyatnostei i ee Primeneniya, 2004, Volume 49, Issue 3, Pages 583–589
DOI: https://doi.org/10.4213/tvp208 (Mi tvp208) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communications

Approximation by the compound Poisson law

A. K. Aleshkyavichene, V. Statulevičius

Institute of Mathematics and Informatics
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DOI: https://doi.org/10.4213/tvp208
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
English version:
Theory of Probability and its Applications, 2005, Volume 49, Issue 3, Pages 519–526
DOI: https://doi.org/10.1137/S0040585X97981226
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. K. Aleshkyavichene, V. Statulevičius, “Approximation by the compound Poisson law”, Teor. Veroyatnost. i Primenen., 49:3 (2004), 583–589; Theory Probab. Appl., 49:3 (2005), 519–526
Citation in format AMSBIB
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\jour Theory Probab. Appl.
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  • https://doi.org/10.4213/tvp208
  • https://www.mathnet.ru/eng/tvp/v49/i3/p583
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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