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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 260, Pages 186–201 (Mi znsl1073)  
This article is cited in 7 scientific papers (total in 7 papers)

Almost sure limit theorem for sums of random vectors

M. A. Lifshitsabc

a University of Sciences and Technologies
b Vocational Renewal Centre Management and Computer Technologies
c Saint-Petersburg State University
Full-text PDF (224 kB) Citations (7)
Abstract: We prove a sufficient condition for almost sure limit theorem for sums of independent random vectors under minimal moment assumptions and extremely mild assumptions about normalizing sequences. We also provide an example which shows that our sufficient condition is nearly optimal, as well as another sufficient condition due to I. Berkes and H. Dehling.
Received: 01.12.1998
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 109, Issue 6, Pages 2166–2178
DOI: https://doi.org/10.1023/A:1014533500973
Bibliographic databases:
Language: Russian
Citation: M. A. Lifshits, “Almost sure limit theorem for sums of random vectors”, Probability and statistics. Part 3, Zap. Nauchn. Sem. POMI, 260, POMI, St. Petersburg, 1999, 186–201; J. Math. Sci. (New York), 109:6 (2002), 2166–2178
Citation in format AMSBIB
\Bibitem{Lif99}
\by M.~A.~Lifshits
\paper Almost sure limit theorem for sums of random vectors
\inbook Probability and statistics. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 260
\pages 186--201
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1073}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1759162}
\zmath{https://zbmath.org/?q=an:1001.60035}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 109
\issue 6
\pages 2166--2178
\crossref{https://doi.org/10.1023/A:1014533500973}
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  • https://www.mathnet.ru/eng/znsl/v260/p186
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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