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


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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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E. Kosov

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

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