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

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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).

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Authors and Affiliations

  1. University of Minnesota, Minneapolis, USA

    S. G. Bobkov

  2. University of Bielefeld, Bielefeld, Germany

    G. P. Chistyakov & F. Götze

Authors
  1. S. G. Bobkov
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  2. G. P. Chistyakov
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  3. F. Götze
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Corresponding author

Correspondence to S. G. Bobkov.

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Dedicated to the memory of Vladimir Nikolaevich Sudakov

Published in Zapiski Nauchnykh Seminarov POMI, Vol. 457, 2017, pp. 37–52.

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Bobkov, S.G., Chistyakov, G.P. & Götze, F. Gaussian Mixtures and Normal Approximation for V. N. Sudakov’s Typical Distributions. J Math Sci 238, 366–376 (2019). https://doi.org/10.1007/s10958-019-04244-7

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  • DOI: https://doi.org/10.1007/s10958-019-04244-7

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