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

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

doi:10.1007/s10958-019-04244-7

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

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

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	366-376
Number of pages	11
Journal	Journal of Mathematical Sciences (United States)
Volume	238
Issue number	4
DOIs	https://doi.org/10.1007/s10958-019-04244-7
State	Published - 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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abstract = "We derive a general upper bound on the distance of the standard normal law to typical distributions in V. N. Sudakov{\textquoteright}s theorem (in terms of the weighted total variation).",

author = "Bobkov, {S. G.} and Chistyakov, {G. P.} and F. G{\"o}tze",

note = "Funding Information: The research of Bobkov was partially supported by NSF grant DMS-1612961. The research of Chistyakov and G{\"o}tze was partially supported by SFB 1283 University. Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

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N1 - 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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Gaussian Mixtures and Normal Approximation for V. N. Sudakov’s Typical Distributions

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