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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 311, Pages 237–241 (Mi znsl799)  
On the growth of sums of non-negative random variables

V. V. Petrov

Saint-Petersburg State University
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Abstract: Almost sure estimates of the growth of sums of non-negative random variables are established. A generalization of author's result on the growth of sums of the indicators of arbitrary events is obtained.
Received: 25.05.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 133, Issue 3, Pages 1342–1344
DOI: https://doi.org/10.1007/s10958-006-0044-7
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “On the growth of sums of non-negative random variables”, Probability and statistics. Part 7, Zap. Nauchn. Sem. POMI, 311, POMI, St. Petersburg, 2004, 237–241; J. Math. Sci. (N. Y.), 133:3 (2006), 1342–1344
Citation in format AMSBIB
\Bibitem{Pet04}
\by V.~V.~Petrov
\paper On the growth of sums of non-negative random variables
\inbook Probability and statistics. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 311
\pages 237--241
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl799}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2092211}
\zmath{https://zbmath.org/?q=an:1077.60029}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 133
\issue 3
\pages 1342--1344
\crossref{https://doi.org/10.1007/s10958-006-0044-7}
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