F. Götze, A. Yu. Zaitsev, D. Zaporozhets, “Improved multivariate version of the second Kolmogorov's uniform limit theorem”, Zap. Nauchn. Sem. POMI, 2019, Volume 486,Pages <nobr>71

This article is cited in 1 paper

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

F. Götze^a, A. Yu. Zaitsev^bc, D. Zaporozhets^bc

^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.

UDC: 519.2

Received: 28.11.2019