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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 4, Pages 625–639
DOI: https://doi.org/10.4213/tvp3791 (Mi tvp3791) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Large Deviations in the Approximation by the Poisson Law

A. K. Aleshkyavichene, V. Statulevičius

Institute of Mathematics and Informatics
Full-text PDF (1021 kB) Citations (2)
DOI: https://doi.org/10.4213/tvp3791
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
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 4, Pages 589–602
DOI: https://doi.org/10.1137/S0040585X97979238
Bibliographic databases:
Language: Russian
Citation: A. K. Aleshkyavichene, V. Statulevičius, “Large Deviations in the Approximation by the Poisson Law”, Teor. Veroyatnost. i Primenen., 46:4 (2001), 625–639; Theory Probab. Appl., 46:4 (2002), 589–602
Citation in format AMSBIB
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\paper Large Deviations in the Approximation by the Poisson Law
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\pages 625--639
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 4
\pages 589--602
\crossref{https://doi.org/10.1137/S0040585X97979238}
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Linking options:
  • https://www.mathnet.ru/eng/tvp3791
  • https://doi.org/10.4213/tvp3791
  • https://www.mathnet.ru/eng/tvp/v46/i4/p625
    • This publication is cited in the following 2 articles:
    1. V. Čekanavičius, P. Vellaisamy, “On large deviations for sums of discrete m-dependent random variables”, Stochastics, 91:8 (2019), 1092  crossref
    2. V. Cekanavicius, B. Roos, “Two-Parametric Compound Binomial Approximations”, Lith Math J, 44:4 (2004), 354  crossref
    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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