Email this article Gaussian Mixtures and Normal Approximation for V. N. Sudakov’s Typical Distributions
- Authors: Bobkov S.G.1, Chistyakov G.P.2, Götze F.2
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Affiliations:
- University of Minnesota
- University of Bielefeld
- Issue: Vol 238, No 4 (2019)
- Pages: 366-376
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/242533
- DOI: https://doi.org/10.1007/s10958-019-04244-7
- ID: 242533
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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).
About the authors
S. G. Bobkov
University of Minnesota
Author for correspondence.
Email: bobkov@math.umn.edu
United States, Minneapolis
G. P. Chistyakov
University of Bielefeld
Email: bobkov@math.umn.edu
Germany, Bielefeld
F. Götze
University of Bielefeld
Email: bobkov@math.umn.edu
Germany, Bielefeld
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