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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 183–194 (Mi znsl6392)  
On the rate of convergence in the strong law of large numbers for non-negative random variables

V. M. Korchevsky

St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
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Abstract: We study the rate of convergence in the strong law of large numbers for sequences of non-negative random variables without the independence assumption. We obtain conditions for which an analog of the Baum–Katz theorem holds.
Key words and phrases: strong law of large numbers, rate of convergence in SLLN, Baum–Katz theorem, dependent random variables.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 28.10.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 719–726
DOI: https://doi.org/10.1007/s10958-018-3711-6
Bibliographic databases:
Document Type: Article
UDC: 519.214
Language: Russian
Citation: V. M. Korchevsky, “On the rate of convergence in the strong law of large numbers for non-negative random variables”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 183–194; J. Math. Sci. (N. Y.), 229:6 (2018), 719–726
Citation in format AMSBIB
\Bibitem{Kor16}
\by V.~M.~Korchevsky
\paper On the rate of convergence in the strong law of large numbers for non-negative random variables
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 183--194
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6392}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602409}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 719--726
\crossref{https://doi.org/10.1007/s10958-018-3711-6}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042212356}
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