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 Zap. Nauchn. Sem. POMI, 2017, Volume 466, Pages 159–166 (Mi znsl6548)

On the strong law of large numbers for sequences of pairwise independent random variables

V. M. Korchevsky

St. Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia

Abstract: We establish new sufficient conditions for the applicability of the strong law of large numbers (SLLN) for sequences of pairwise independent non-identically distributed random variables. These results generalize Etemadi's extension of Kolmogorov's SLLN for identically distributed random variables. Some of the obtained results hold with an arbitrary norming sequence in place of the classical normalization.

Key words and phrases: strong law of large numbers, pairwise independent random variables.

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Document Type: Article
UDC: 519.2

Citation: V. M. Korchevsky, “On the strong law of large numbers for sequences of pairwise independent random variables”, Probability and statistics. Part 26, Zap. Nauchn. Sem. POMI, 466, POMI, St. Petersburg, 2017, 159–166

Citation in format AMSBIB
\Bibitem{Kor17} \by V.~M.~Korchevsky \paper On the strong law of large numbers for sequences of pairwise independent random variables \inbook Probability and statistics. Part~26 \serial Zap. Nauchn. Sem. POMI \yr 2017 \vol 466 \pages 159--166 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6548}