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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 4, Pages 785–792
DOI: https://doi.org/10.4213/tvp3825 (Mi tvp3825) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communications

Lower Bounds for Probabilities of Large Deviations of Sums of Independent Random Variables

S. V. Nagaev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (683 kB) Citations (7)
DOI: https://doi.org/10.4213/tvp3825
Abstract: We derive lower bounds for probabilities of large deviations of sums of independent random variables in terms of tail probabilities for the number of successes in nonhomogeneous Bernoulli trials. These bounds are convenient if the Lyapunov ratio is great, and also in the case of bounded summands.
Keywords: binomial distribution, large deviations, Poisson distribution, Lyapunov ratio, Bernoulli trials, Cramer theorem.
Received: 08.02.1999
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 4, Pages 728–735
DOI: https://doi.org/10.1137/S0040585X97979330
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Nagaev, “Lower Bounds for Probabilities of Large Deviations of Sums of Independent Random Variables”, Teor. Veroyatnost. i Primenen., 46:4 (2001), 785–792; Theory Probab. Appl., 46:4 (2002), 728–735
Citation in format AMSBIB
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\paper Lower Bounds for Probabilities of Large Deviations of Sums of Independent Random Variables
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\pages 785--792
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 4
\pages 728--735
\crossref{https://doi.org/10.1137/S0040585X97979330}
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  • https://doi.org/10.4213/tvp3825
  • https://www.mathnet.ru/eng/tvp/v46/i4/p785
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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