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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 254–260 (Mi znsl6397)  
This article is cited in 1 scientific paper (total in 1 paper)

Small deviation probabilities for sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power

L. V. Rozovskyab

a St. Petersburg Chemical-Pharmaceutical Academy, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (158 kB) Citations (1)
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Abstract: In the note we investigate small deviation probabilities of cumulative sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power.
Key words and phrases: small deviations, sum of independent positive random variables, slowly varying functions, regularly varying functions.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00367
Received: 12.09.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 767–771
DOI: https://doi.org/10.1007/s10958-018-3716-1
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: L. V. Rozovsky, “Small deviation probabilities for sum of independent positive random variables, which have a common distribution, decreasing at zero not faster than a power”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 254–260; J. Math. Sci. (N. Y.), 229:6 (2018), 767–771
Citation in format AMSBIB
\Bibitem{Roz16}
\by L.~V.~Rozovsky
\paper Small deviation probabilities for sum of independent positive random variables, which have a~common distribution, decreasing at zero not faster than a~power
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 254--260
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6397}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602414}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 767--771
\crossref{https://doi.org/10.1007/s10958-018-3716-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042229500}
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  • https://www.mathnet.ru/eng/znsl/v454/p254
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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