Gaussian Mixtures and Normal Approximation for V. N. Sudakov’s Typical Distributions

S. G. Bobkov, G. P. Chistyakov, F. Götze

Research output: Contribution to journalArticlepeer-review

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).

Original languageEnglish (US)
Pages (from-to)366-376
Number of pages11
JournalJournal of Mathematical Sciences (United States)
Volume238
Issue number4
DOIs
StatePublished - Apr 28 2019

Bibliographical note

Funding Information:
The research of Bobkov was partially supported by NSF grant DMS-1612961. The research of Chistyakov and Götze was partially supported by SFB 1283 University.

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

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