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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 431, Pages 140–144 (Mi znsl6099)  
This article is cited in 1 scientific paper (total in 1 paper)

On absolute convergence of series of random variables almost surely

V. V. Petrov

St. Petersburg State University, St. Petersburg, Russia
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Abstract: The paper deals with the conditions of absolute convergence of series of random variables almost surely. The results contain no independence assumptions. A generalization is obtained in analytical terms.
Key words and phrases: series of random variables, absolute convergence almost surely, the strong law of large numbers.
Received: 13.10.2014
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 214, Issue 4, Pages 513–516
DOI: https://doi.org/10.1007/s10958-016-2794-1
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “On absolute convergence of series of random variables almost surely”, Probability and statistics. Part 21, Zap. Nauchn. Sem. POMI, 431, POMI, St. Petersburg, 2014, 140–144; J. Math. Sci. (N. Y.), 214:4 (2016), 513–516
Citation in format AMSBIB
\Bibitem{Pet14}
\by V.~V.~Petrov
\paper On absolute convergence of series of random variables almost surely
\inbook Probability and statistics. Part~21
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 431
\pages 140--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6099}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3488641}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2016
\vol 214
\issue 4
\pages 513--516
\crossref{https://doi.org/10.1007/s10958-016-2794-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84961127046}
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  • https://www.mathnet.ru/eng/znsl/v431/p140
    • 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
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