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 Zap. Nauchn. Sem. POMI, 2019, Volume 486, Pages 71–85 (Mi znsl6884)

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

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

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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}