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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 457, Pages 37–52 (Mi znsl6436)  
This article is cited in 3 scientific papers (total in 3 papers)

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

S. G. Bobkova, G. P. Chistyakovb, F. Götzec

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
Full-text PDF (205 kB) Citations (3)
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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's theorem (in terms of the weighted total variation).
Key words and phrases: Sudakov's typical distributions, normal approximation.
Funding agency Grant number
National Science Foundation DMS-1612961
Universität Bielefeld SFB 1283
Bobkov: Research was partially supported by NSF grant DMS-1612961.
Chistyakov, Götze: Research was partially supported by SFB 1283 at Bielefeld University.
Received: 13.03.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 238, Issue 4, Pages 366–376
DOI: https://doi.org/10.1007/s10958-019-04244-7
Document Type: Article
UDC: 519.2
Language: English
Citation: S. G. Bobkov, G. P. Chistyakov, F. Götze, “Gaussian mixtures and normal approximation for V. N. Sudakov's typical distributions”, Probability and statistics. Part 25, Zap. Nauchn. Sem. POMI, 457, POMI, St. Petersburg, 2017, 37–52; J. Math. Sci. (N. Y.), 238:4 (2019), 366–376
Citation in format AMSBIB
\Bibitem{BobChiGot17}
\by S.~G.~Bobkov, G.~P.~Chistyakov, F.~G\"otze
\paper Gaussian mixtures and normal approximation for V.\,N.~Sudakov's typical distributions
\inbook Probability and statistics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2017
\vol 457
\pages 37--52
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6436}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 238
\issue 4
\pages 366--376
\crossref{https://doi.org/10.1007/s10958-019-04244-7}
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  • https://www.mathnet.ru/eng/znsl/v457/p37
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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