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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 474, Pages 108–117 (Mi znsl6671)  
This article is cited in 5 scientific papers (total in 5 papers)

Estimates for the closeness of convolutions of probability distributions on convex polyhedra

F. Götzea, A. Yu. Zaitsevbc

a Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
c Saint Petersburg State University, Saint Petersburg, Russia
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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 accompanying compound Poisson laws and the estimates of the proximity of sequential convolutions of multidimensional distributions may be transferred to the estimation of the closeness of convolutions of probability distributions on convex polyhedra.
Key words and phrases: sums of independent random variables, proximity of sequential convolutions, convex polyhedra, approximation, inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00367_а
Saint Petersburg State University 6.37.65.2017
Received: 19.11.2018
Document Type: Article
UDC: 519.2
Language: Russian
Citation: F. Götze, A. Yu. Zaitsev, “Estimates for the closeness of convolutions of probability distributions on convex polyhedra”, Probability and statistics. Part 27, Zap. Nauchn. Sem. POMI, 474, POMI, St. Petersburg, 2018, 108–117
Citation in format AMSBIB
\Bibitem{GotZai18}
\by F.~G\"otze, A.~Yu.~Zaitsev
\paper Estimates for the closeness of convolutions of probability distributions on convex polyhedra
\inbook Probability and statistics. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 474
\pages 108--117
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6671}
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  • https://www.mathnet.ru/eng/znsl/v474/p108
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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