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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 298, Pages 191–207 (Mi znsl1172)  
This article is cited in 3 scientific papers (total in 3 papers)

On asymptotic behaviour of increments of random fields

A. N. Frolov

Saint-Petersburg State University
Full-text PDF (244 kB) Citations (3)
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Abstract: We derive universal strong laws for increments of sums of i.i.d. random variables with multidimensional indices where an exponential moment does not exist. Our theorems yield the strong law of large numbers, the law of the iterated logarithm and the Csörgő-Révész laws for random fields. New results are obtained for distributions from domains of attraction of a normal law and completely asymmetric stable laws with index $\alpha\in(1,2)$.
Received: 15.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 1, Pages 2604–2613
DOI: https://doi.org/10.1007/s10958-005-0209-9
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. N. Frolov, “On asymptotic behaviour of increments of random fields”, Probability and statistics. Part 6, Zap. Nauchn. Sem. POMI, 298, POMI, St. Petersburg, 2003, 191–207; J. Math. Sci. (N. Y.), 128:1 (2005), 2604–2613
Citation in format AMSBIB
\Bibitem{Fro03}
\by A.~N.~Frolov
\paper On asymptotic behaviour of increments of random fields
\inbook Probability and statistics. Part~6
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 298
\pages 191--207
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2038873}
\zmath{https://zbmath.org/?q=an:1080.60025}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 1
\pages 2604--2613
\crossref{https://doi.org/10.1007/s10958-005-0209-9}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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