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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 486, Pages 71–85 (Mi znsl6884)  
This article is cited in 1 scientific paper (total in 1 paper)

Improved multivariate version of the second Kolmogorov's uniform limit theorem

F. Götzea, A. Yu. Zaitsevbc, D. Zaporozhetsbc

a Bielefeld University, Department of Mathematics
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c Saint Petersburg State University
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Abstract: The aim of the present work is to show that the results obtained earlier on the approximation of distributions of sums of independent summands by the infinitely divisible laws may be transferred to the estimation of the closeness of distributions on convex polyhedra.
Key words and phrases: sums of independent random variables, closeness of successive convolutions, convex polyhedra, approximation, inequalities.
Funding agency Grant number
Saint Petersburg State University 6.65.37.2017
Russian Foundation for Basic Research 19-01-00356
Russian Academy of Sciences - Federal Agency for Scientific Organizations
Deutsche Forschungsgemeinschaft SFB 1283
Received: 28.11.2019
Document Type: Article
UDC: 519.2
Language: Russian
Citation: F. Götze, A. Yu. Zaitsev, D. Zaporozhets, “Improved multivariate version of the second Kolmogorov's uniform limit theorem”, Probability and statistics. Part 28, Zap. Nauchn. Sem. POMI, 486, POMI, St. Petersburg, 2019, 71–85
Citation in format AMSBIB
\Bibitem{GotZaiZap19}
\by F.~G\"otze, A.~Yu.~Zaitsev, D.~Zaporozhets
\paper Improved multivariate version of the second Kolmogorov's uniform limit theorem
\inbook Probability and statistics. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 2019
\vol 486
\pages 71--85
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6884}
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  • https://www.mathnet.ru/eng/znsl/v486/p71
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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