Total Variation Distance Estimates via L2-Norm for Polynomials in Log-concave Random Vectors

DOI10.1093/imrn/rnz278zbMath1490.60047arXiv1812.02411OpenAlexW2990874332MaRDI QIDQ5022007

Egor D. Kosov

Publication date: 18 January 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02411

zbMATH Keywords

log-concave random vectors\(L^2\)-distance

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05)

Related Items (6)

Chebyshev--Hermite Polynomials and Distributions of Polynomials in Gaussian Random Variables ⋮ Berry-Esseen bounds of second moment estimators for Gaussian processes observed at high frequency ⋮ Regularity of distributions of Sobolev mappings in abstract settings ⋮ Regularity of linear and polynomial images of Skorohod differentiable measures ⋮ Distributions of polynomials in Gaussian random variables under constraints on the powers of variables ⋮ Distributions of second order polynomials in Gaussian random variables

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