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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 368, Pages 190–200 (Mi znsl3513)  
This article is cited in 1 scientific paper (total in 1 paper)

Small deviations of the maximal element of a sequence of independent variables with smooth weights

L. V. Rozovsky

Saint-Petersburg Chemical-Pharmaceutical Academy, Saint-Petersburg, Russia
Full-text PDF (561 kB) Citations (1)
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Abstract: We study the logarithmic small deviations of the maximal element of a sequence $\{\lambda_jX_j\}$, where $\{X_j\}$ are independent copies of non-negative random variable $X$ and $\{\lambda_j\}$ is a non-increasing sequence of positive numbers, satisfying certain conditions of regularity. Bibl. – 3 titles.
Key words and phrases: small deviations, maximal element, non-negative random variables, slowly varying function, regularly varying function.
Received: 09.11.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 167, Issue 4, Pages 543–549
DOI: https://doi.org/10.1007/s10958-010-9942-9
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: L. V. Rozovsky, “Small deviations of the maximal element of a sequence of independent variables with smooth weights”, Probability and statistics. Part 15, Zap. Nauchn. Sem. POMI, 368, POMI, St. Petersburg, 2009, 190–200; J. Math. Sci. (N. Y.), 167:4 (2010), 543–549
Citation in format AMSBIB
\Bibitem{Roz09}
\by L.~V.~Rozovsky
\paper Small deviations of the maximal element of a~sequence of independent variables with smooth weights
\inbook Probability and statistics. Part~15
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 368
\pages 190--200
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3513}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 167
\issue 4
\pages 543--549
\crossref{https://doi.org/10.1007/s10958-010-9942-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953913668}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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