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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 454, Pages 216–219 (Mi znsl6394)  
This article is cited in 3 scientific papers (total in 3 papers)

Estimation of the constant in the inequality for the uniform distance between distributions of sequential sums of i.i.d. random variables

E. L. Maistrenko

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (119 kB) Citations (3)
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Abstract: Some of the known inequalities for the uniform distance between distributions of sequential sums of independent identically distributed random variables are considered. In the case where distribution $F$ has $0$ as $q$-quantile an upper bound for the absolute constant in the inequality is given.
Key words and phrases: uniform distance, sequential sums of i.i.d., estimation of the constant.
Received: 25.11.2016
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 229, Issue 6, Pages 741–743
DOI: https://doi.org/10.1007/s10958-018-3713-4
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: E. L. Maistrenko, “Estimation of the constant in the inequality for the uniform distance between distributions of sequential sums of i.i.d. random variables”, Probability and statistics. Part 24, Zap. Nauchn. Sem. POMI, 454, POMI, St. Petersburg, 2016, 216–219; J. Math. Sci. (N. Y.), 229:6 (2018), 741–743
Citation in format AMSBIB
\Bibitem{Mai16}
\by E.~L.~Maistrenko
\paper Estimation of the constant in the inequality for the uniform distance between distributions of sequential sums of i.i.d. random variables
\inbook Probability and statistics. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 2016
\vol 454
\pages 216--219
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6394}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3602411}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 229
\issue 6
\pages 741--743
\crossref{https://doi.org/10.1007/s10958-018-3713-4}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85042212903}
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  • https://www.mathnet.ru/eng/znsl/v454/p216
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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