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An Inequality between Total Variation and \({{L}^{2}}\) Distances for Polynomials in log-Concave Random Vectors

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Abstract

In the paper we discuss a new bound of the total variation distance in terms of L2 distance for random variables that are polynominals in log-concave random vectors.

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Funding

The author is a “Young Russian Mathematics” award winner and would like to thank its sponsors and jury.

This research was supported by the Russian Science Foundation Grant 17-11-01058 at Lomonosov Moscow State University.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, 119991, Moscow, Russia

    E. D. Kosov

  2. Higher School of Economics, 101000, Moscow, Russia

    E. D. Kosov

Authors
  1. E. D. Kosov
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Correspondence to E. D. Kosov.

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Kosov, E.D. An Inequality between Total Variation and \({{L}^{2}}\) Distances for Polynomials in log-Concave Random Vectors . Dokl. Math. 100, 423–425 (2019). https://doi.org/10.1134/S1064562419050053

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  • DOI: https://doi.org/10.1134/S1064562419050053

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