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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 474, Pages 195–198 (Mi znsl6678)  
The law of the iterated logarithm and probabilities of moderate deviations of sums of dependent random variables

V. V. Petrov

Saint Petersburg State University, Saint Petersburg, Russia
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Abstract: Sufficient conditions are found for the applicability of a classical law of the iterated logarithm to sequences of random variables without conditions of independence and the existence of any moments.
Key words and phrases: law of iterated logarithm, sums of random variables.
Received: 11.10.2017
Document Type: Article
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “The law of the iterated logarithm and probabilities of moderate deviations of sums of dependent random variables”, Probability and statistics. Part 27, Zap. Nauchn. Sem. POMI, 474, POMI, St. Petersburg, 2018, 195–198
Citation in format AMSBIB
\Bibitem{Pet18}
\by V.~V.~Petrov
\paper The law of the iterated logarithm and probabilities of moderate deviations of sums of dependent random variables
\inbook Probability and statistics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 474
\pages 195--198
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6678}
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  • https://www.mathnet.ru/eng/znsl/v474/p195
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