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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 408, Pages 62–73 (Mi znsl5492)  
This article is cited in 26 scientific papers (total in 26 papers)

Bounds on the maximum of the density for sums of independent random variables

S. G. Bobkova, G. P. Chistyakovb

a School of Mathematics, University of Minnesota, Minneapolis, MN, USA
b Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Deutschland
Full-text PDF (236 kB) Citations (26)
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Abstract: Sublinear bounds on the maximum of the density for sums of independent random variables are given in terms of the maxima of the densities of the summands.
Key words and phrases: sums of independent random variables, maximum of the density.
Received: 15.10.2012
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 2, Pages 100–106
DOI: https://doi.org/10.1007/s10958-014-1836-9
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: S. G. Bobkov, G. P. Chistyakov, “Bounds on the maximum of the density for sums of independent random variables”, Probability and statistics. Part 18, Zap. Nauchn. Sem. POMI, 408, POMI, St. Petersburg, 2012, 62–73; J. Math. Sci. (N. Y.), 199:2 (2014), 100–106
Citation in format AMSBIB
\Bibitem{BobChi12}
\by S.~G.~Bobkov, G.~P.~Chistyakov
\paper Bounds on the maximum of the density for sums of independent random variables
\inbook Probability and statistics. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 408
\pages 62--73
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5492}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3032208}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 2
\pages 100--106
\crossref{https://doi.org/10.1007/s10958-014-1836-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902247780}
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  • https://www.mathnet.ru/eng/znsl/v408/p62
    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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