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Zapiski Nauchnykh Seminarov LOMI, 1983, Volume 130, Pages 150–156 (Mi znsl4344)  
One-side theorems on the law of the iterated logarithm without the independence assumption

V. V. Petrov
Full-text PDF (268 kB)
Abstract: Two theorems on the law of the iterated logarithm are proved for sequences of not necessarily independent random variables. These theorems are one-sided analogoues of some results of Lai and Stout.
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: V. V. Petrov, “One-side theorems on the law of the iterated logarithm without the independence assumption”, Problems of the theory of probability distributions. Part VIII, Zap. Nauchn. Sem. LOMI, 130, "Nauka", Leningrad. Otdel., Leningrad, 1983, 150–156
Citation in format AMSBIB
\Bibitem{Pet83}
\by V.~V.~Petrov
\paper One-side theorems on the law of the iterated logarithm without the independence assumption
\inbook Problems of the theory of probability distributions. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1983
\vol 130
\pages 150--156
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4344}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=723681}
\zmath{https://zbmath.org/?q=an:0528.60027}
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  • https://www.mathnet.ru/eng/znsl4344
  • https://www.mathnet.ru/eng/znsl/v130/p150
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