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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 278, Pages 248–260 (Mi znsl1446)  
This article is cited in 3 scientific papers (total in 3 papers)

On asymptotic behaviour of increments of sums over increasing runs

A. N. Frolov

Saint-Petersburg State University
Full-text PDF (210 kB) Citations (3)
Abstract: We investigate the almost sure asymptotic behaviour of increments of sums of i.i.d. random variables over increasing runs in associate sequence. The Shepp law, the Erdős–Rényi law and the Csörgő–Révész laws are obtained for increments of sums over increasing runs formed by random variables which take its values in a fixed interval.
Received: 15.12.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 118, Issue 6, Pages 5650–5657
DOI: https://doi.org/10.1023/A:1026154925874
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. N. Frolov, “On asymptotic behaviour of increments of sums over increasing runs”, Probability and statistics. Part 4, Zap. Nauchn. Sem. POMI, 278, POMI, St. Petersburg, 2001, 248–260; J. Math. Sci. (N. Y.), 118:6 (2003), 5650–5657
Citation in format AMSBIB
\Bibitem{Fro01}
\by A.~N.~Frolov
\paper On asymptotic behaviour of increments of sums over increasing runs
\inbook Probability and statistics. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 278
\pages 248--260
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1446}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1874379}
\zmath{https://zbmath.org/?q=an:1066.60031}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 118
\issue 6
\pages 5650--5657
\crossref{https://doi.org/10.1023/A:1026154925874}
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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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