An inequality between total variation and \(L^2\) distances for polynomials in log-concave random vectors

DOI10.1134/S1064562419050053zbMath1440.60020OpenAlexW4244169454MaRDI QIDQ2304348

Egor D. Kosov

Publication date: 11 March 2020

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562419050053

zbMATH Keywords

log-concave random vectors

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Central limit and other weak theorems (60F05)

Related Items (2)

Regularity of linear and polynomial images of Skorohod differentiable measures ⋮ Distributions of polynomials in Gaussian random variables under constraints on the powers of variables

Cites Work

• Unnamed Item
• On convex perturbations with a bounded isotropic constant
• Power-law estimates for the central limit theorem for convex sets
• Isoperimetric and analytic inequalities for log-concave probability measures
• Fractional smoothness of images of logarithmically concave measures under polynomials
• The extreme points of subsets of s-concave probabilities and a geometric localization theorem
• Convergence in total variation on Wiener chaos
• A central limit theorem for convex sets
• Some Generalizations of Prokhorov's Results on Khinchin-Type Inequalities for Polynomials
• On translates of convex measures
• Fractional smoothness of distributions of polynomials and a fractional analog of the Hardy–Landau–Littlewood inequality
• Distributional and \(L^q\) norm inequalities for polynomials over convex bodies in \(\mathbb{R}^n\)

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