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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 474, Pages 118–123 (Mi znsl6672)  

This article is cited in 3 scientific papers (total in 3 papers)

On improvement of the estimate of the distance between sequential sums of independent random variables

Ya. S. Golikovaab

a Saint Petersburg State University, Saint Petersburg, Russia
b Baltic State Technical University, St. Petersburg, Russia
Full-text PDF (132 kB) Citations (3)
References:
Abstract: The aim of the present paper is to improve the previously obtained estimate of the constant in the inequality for the uniform distance between $n$ and $(n + 1)$-fold convolution of one-dimensional probability distributions in the case where distribution $F$ has $0$ as $q$-quantile.
Key words and phrases: uniform distance, sum of independent identically distributed random variables, concentration functions, inequalities, estimate of the absolute constant.
Funding agency Grant number
Saint Petersburg State University 6.37.65.2017
Received: 28.11.2018
Document Type: Article
UDC: 519.2
Language: Russian
Citation: Ya. S. Golikova, “On improvement of the estimate of the distance between sequential sums of independent random variables”, Probability and statistics. Part 27, Zap. Nauchn. Sem. POMI, 474, POMI, St. Petersburg, 2018, 118–123
Citation in format AMSBIB
\Bibitem{Gol18}
\by Ya.~S.~Golikova
\paper On improvement of the estimate of the distance between sequential sums of independent random variables
\inbook Probability and statistics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 474
\pages 118--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6672}
Linking options:
  • https://www.mathnet.ru/eng/znsl6672
  • https://www.mathnet.ru/eng/znsl/v474/p118
  • 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
    Записки научных семинаров ПОМИ
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    Full-text PDF :37
    References:33
     
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