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
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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/znsl6397
https://www.mathnet.ru/eng/znsl/v454/p254
This publication is cited in the following 1 articles:
I. A. Ibragimov, M. A. Lifshits, A. I. Nazarov, D. N. Zaporozhets, “On the history of St. Petersburg school of probability and mathematical statistics: II. Random processes and dependent variables”, Vestn. St Petersb. Univ.-Math., 51:3 (2018), 213–236
Citation in format AMSBIB
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