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Teoriya Veroyatnostei i ee Primeneniya, 1997, Volume 42, Issue 1, Pages 134–143
DOI: https://doi.org/10.4213/tvp1716 (Mi tvp1716) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A generalization of the Kolmogorov theorem on the law of the iterated logarithm

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (466 kB) Citations (6)
DOI: https://doi.org/10.4213/tvp1716
Abstract: This paper gives necessary and sufficient conditions for the fulfillment of the law of the iterated logarithm for a sum of bounded random variables in the case of arbitrary norming monotonically tending to infinity. For the standard norming sequence the results obtained imply the known Kolmogorov theorem.
Keywords: bounded independent random variables, law of the iterated logarithm, convergence almost surely.
Received: 28.09.1993
Revised: 21.06.1996
English version:
Theory of Probability and its Applications, 1998, Volume 42, Issue 1, Pages 112–120
DOI: https://doi.org/10.1137/S0040585X97975976
Bibliographic databases:
Language: Russian
Citation: L. V. Rozovskii, “A generalization of the Kolmogorov theorem on the law of the iterated logarithm”, Teor. Veroyatnost. i Primenen., 42:1 (1997), 134–143; Theory Probab. Appl., 42:1 (1998), 112–120
Citation in format AMSBIB
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\by L.~V.~Rozovskii
\paper A generalization of the Kolmogorov theorem on the law of the iterated logarithm
\jour Teor. Veroyatnost. i Primenen.
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\vol 42
\issue 1
\pages 134--143
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\zmath{https://zbmath.org/?q=an:0908.60007}
\transl
\jour Theory Probab. Appl.
\yr 1998
\vol 42
\issue 1
\pages 112--120
\crossref{https://doi.org/10.1137/S0040585X97975976}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000073918900009}
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  • https://www.mathnet.ru/eng/tvp1716
  • https://doi.org/10.4213/tvp1716
  • https://www.mathnet.ru/eng/tvp/v42/i1/p134
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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