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

E. D. Kosov

doi:10.1134/S1064562419050053

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

Authors: Kosov E.D.¹^,2
Affiliations:
1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
2. Higher School of Economics
Issue: Vol 100, No 2 (2019)
Pages: 423-425
Section: Mathematics
URL: https://journal-vniispk.ru/1064-5624/article/view/225711
DOI: https://doi.org/10.1134/S1064562419050053
ID: 225711

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Abstract
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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.

About the authors

E. D. Kosov

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University; Higher School of Economics

Author for correspondence.
Email: ked_2006@mail.ru
Russian Federation, Moscow, 119991; Moscow, 101000

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