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Teoriya Veroyatnostei i ee Primeneniya, 1965, Volume 10, Issue 2, Pages 310–322 (Mi tvp525)  

This article is cited in 132 scientific papers (total in 132 papers)

On the probabilities of large deviations for sums of independent random variables

V. V. Petrov

Leningrad
Abstract: Some limit theorems on the large deviations of a sum of independent random variables are proved. It is supposed that the moment generating function of each summand is finite in some non-degenerate interval $(0,B)$.
English version:
Theory of Probability and its Applications, 1965, Volume 10, Issue 2, Pages 287–298
DOI: https://doi.org/10.1137/1110033
Bibliographic databases:
Language: Russian
Citation: V. V. Petrov, “On the probabilities of large deviations for sums of independent random variables”, Teor. Veroyatnost. i Primenen., 10:2 (1965), 310–322; Theory Probab. Appl., 10:2 (1965), 287–298
Citation in format AMSBIB
\Bibitem{Pet65}
\by V.~V.~Petrov
\paper On the probabilities of large deviations for sums of independent random variables
\jour Teor. Veroyatnost. i Primenen.
\yr 1965
\vol 10
\issue 2
\pages 310--322
\mathnet{http://mi.mathnet.ru/tvp525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=185645}
\zmath{https://zbmath.org/?q=an:0235.60028}
\transl
\jour Theory Probab. Appl.
\yr 1965
\vol 10
\issue 2
\pages 287--298
\crossref{https://doi.org/10.1137/1110033}
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  • https://www.mathnet.ru/eng/tvp525
  • https://www.mathnet.ru/eng/tvp/v10/i2/p310
  • This publication is cited in the following 132 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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