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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 278, Pages 177–181 (Mi znsl1440)  
This article is cited in 1 scientific paper (total in 1 paper)

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

V. V. Petrov

Saint-Petersburg State University
Full-text PDF (143 kB) Citations (1)
Abstract: Sufficient conditions are given for the applicability of the law of the interated logarithm to sequences of independent random variables. These conditions do not include assumptions about the existence of any moments.
Received: 29.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 6, Pages 5607–5609
DOI: https://doi.org/10.1023/A:1026142623148
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. V. Petrov, “On the law of the iterated logarithm without assumptions about the existence of moments”, Probability and statistics. Part 4, Zap. Nauchn. Sem. POMI, 278, POMI, St. Petersburg, 2001, 177–181; J. Math. Sci. (N. Y.), 118:6 (2003), 5607–5609
Citation in format AMSBIB
\Bibitem{Pet01}
\by V.~V.~Petrov
\paper On the law of the iterated logarithm without assumptions about the existence of moments
\inbook Probability and statistics. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 278
\pages 177--181
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874385}
\zmath{https://zbmath.org/?q=an:1066.60035}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 6
\pages 5607--5609
\crossref{https://doi.org/10.1023/A:1026142623148}
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  • https://www.mathnet.ru/eng/znsl/v278/p177
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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