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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 1, Pages 195–206 (Mi fpm466)  
This article is cited in 2 scientific papers (total in 2 papers)

The law of large numbers and the logarithmic law for arrays

A. E. Mikusheva

M. V. Lomonosov Moscow State University
Full-text PDF (362 kB) Citations (2)
Abstract: In this paper we study the asymptotic behavior of sums for arrays of i.i.d. random variables. We obtain conditions under which the law of large numbers for subsequences holds and give an example showing the impossibility to weaken them. Also we establish an analogue of the law of the iterated logarithm.
Received: 01.11.1997
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. E. Mikusheva, “The law of large numbers and the logarithmic law for arrays”, Fundam. Prikl. Mat., 6:1 (2000), 195–206
Citation in format AMSBIB
\Bibitem{Mik00}
\by A.~E.~Mikusheva
\paper The~law of large numbers and the~logarithmic law for arrays
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 1
\pages 195--206
\mathnet{http://mi.mathnet.ru/fpm466}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1798153}
\zmath{https://zbmath.org/?q=an:0983.60018}
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  • https://www.mathnet.ru/eng/fpm/v6/i1/p195
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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