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

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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

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

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title = "Gaussian Mixtures and Normal Approximation for V. N. Sudakov{\textquoteright}s Typical Distributions",

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 = "Publisher Copyright: {\textcopyright} 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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