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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 396, Pages 172–174 (Mi znsl4658)  
A theorem on the strong law of large numbers for a sequence of nonnegative random variables

V. V. Petrov

Saint-Petersburg State University, Saint-Petersburg, Russia
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Abstract: New sufficient conditions are found for the applicability of the strong law of large numbers to a sequence of dependent nonnegative random variables.
Key words and phrases: strong law of large numbers, sums of non-negative random variables.
Received: 25.09.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 188, Issue 6, Pages 735–736
DOI: https://doi.org/10.1007/s10958-013-1164-5
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “A theorem on the strong law of large numbers for a sequence of nonnegative random variables”, Probability and statistics. Part 17, Zap. Nauchn. Sem. POMI, 396, POMI, St. Petersburg, 2011, 172–174; J. Math. Sci. (N. Y.), 188:6 (2013), 735–736
Citation in format AMSBIB
\Bibitem{Pet11}
\by V.~V.~Petrov
\paper A theorem on the strong law of large numbers for a~sequence of nonnegative random variables
\inbook Probability and statistics. Part~17
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 396
\pages 172--174
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4658}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870139}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 188
\issue 6
\pages 735--736
\crossref{https://doi.org/10.1007/s10958-013-1164-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84880577202}
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