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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 341, Pages 151–167 (Mi znsl141)  
This article is cited in 14 scientific papers (total in 14 papers)

Small deviation probabilities for sums of independent positive random variables

L. V. Rozovskii

Saint-Petersburg Chemical-Pharmaceutical Academy
Full-text PDF (242 kB) Citations (14)
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Abstract: In the note we give estimates of small deviation probabilities of a sum $\sum_{j\ge 1} \lambda_j X_j$, where $\{\lambda_j\}$ are nonnegative numbers and $\{X_j\}$ are i.i.d. positive random variables, satisfying mild assumptions at zero and infinity.
Received: 01.11.2006
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 147, Issue 4, Pages 6935–6945
DOI: https://doi.org/10.1007/s10958-007-0518-2
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: L. V. Rozovskii, “Small deviation probabilities for sums of independent positive random variables”, Probability and statistics. Part 11, Zap. Nauchn. Sem. POMI, 341, POMI, St. Petersburg, 2007, 151–167; J. Math. Sci. (N. Y.), 147:4 (2007), 6935–6945
Citation in format AMSBIB
\Bibitem{Roz07}
\by L.~V.~Rozovskii
\paper Small deviation probabilities for sums of independent positive random variables
\inbook Probability and statistics. Part~11
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 341
\pages 151--167
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2363592}
\zmath{https://zbmath.org/?q=an:1137.60013}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2007
\vol 147
\issue 4
\pages 6935--6945
\crossref{https://doi.org/10.1007/s10958-007-0518-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-36048937308}
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  • https://www.mathnet.ru/eng/znsl/v341/p151
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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