S. G. Bobkov, G. P. Chistyakov, F. Götze, “Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions”, Zap. Nauchn. Sem. POMI, 2017, Volume 457,Pages <nobr>37

This article is cited in 3 papers

Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions

S. G. Bobkov^a, G. P. Chistyakov^b, F. Götze^c

^a School of Mathematics, University of Minnesota 127 Vincent Hall, 206 Church St. S.E., Minneapolis, MN 55455 USA
^b Fakultät für Mathematik, Universität Bielefeld Postfach 100131, 33501 Bielefeld, Germany
^c Faculty of Mathematics, University of Bielefeld, Germany

Abstract: We derive a general upper bound on the distance of the standard normal law to typical distributions in V. N. Sudakov's theorem (in terms of the weighted total variation).

Key words and phrases: Sudakov's typical distributions, normal approximation.

UDC: 519.2

Received: 13.03.2017

Language: English