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 Zap. Nauchn. Sem. POMI, 2017, Volume 466, Pages 208–210 (Mi znsl6550)

On the law of the iterated logarithm without assumptions about the existence of moments

V. V. Petrov

St. Petersburg State University, St. Petersburg, Russia

Abstract: Sufficient conditions are found for the applicability of the generalized law of the iterated logarithm for sums of random variables without conditions of independence and the existence of moments.

Key words and phrases: law of the iterated logarithm, sums of random variables.

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Document Type: Article
UDC: 519.2

Citation: V. V. Petrov, “On the law of the iterated logarithm without assumptions about the existence of moments”, Probability and statistics. Part 26, Zap. Nauchn. Sem. POMI, 466, POMI, St. Petersburg, 2017, 208–210

Citation in format AMSBIB
\Bibitem{Pet17} \by V.~V.~Petrov \paper On the law of the iterated logarithm without assumptions about the existence of moments \inbook Probability and statistics. Part~26 \serial Zap. Nauchn. Sem. POMI \yr 2017 \vol 466 \pages 208--210 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6550}