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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 86–89
DOI: https://doi.org/10.31857/S2686954320020216 (Mi danma56) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On large deviations of a sum of independent random variables with rapidly decreasing distribution tails

L. V. Rozovskii

Saint-Petersburg State Chemical-Pharmaceutical University, Saint-Petersburg, Russian Federation
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DOI: https://doi.org/10.31857/S2686954320020216
Abstract: Given a sum of a finite number of independent random variables, the asymptotic behavior of its distributions and densities at infinity is investigated in the case when the densities or tails of these distributions decrease faster than the densities or tails of gamma distributions.
Keywords: independent random variables, large deviations, rapidly decreasing tails.
Funding agency Grant number
Russian Foundation for Basic Research 19–01–00356
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00356.
Presented: I. A. Ibragimov
Received: 13.01.2020
Revised: 13.01.2020
Accepted: 13.02.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 150–153
DOI: https://doi.org/10.1134/S1064562420020210
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: L. V. Rozovskii, “On large deviations of a sum of independent random variables with rapidly decreasing distribution tails”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 86–89; Dokl. Math., 101:2 (2020), 150–153
Citation in format AMSBIB
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\pages 86--89
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\crossref{https://doi.org/10.31857/S2686954320020216}
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\transl
\jour Dokl. Math.
\yr 2020
\vol 101
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\crossref{https://doi.org/10.1134/S1064562420020210}
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