Total variation distance estimates via L²-norm for polynomials in\n log-concave random vectors

2018/12/06 by Egor D. Kosov, Kosov, Egor · 2 citations
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #Point processes and geometric inequalities #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.1812.02411

openalex publication_date 2018/12/06 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

The paper provides an estimate of the total variation distance between\ndistributions of polynomials defined on a space equipped with a logarithmically\nconcave measure in terms of the L²-distance between these polynomials.\n

Cited by

• Oscillatory integrals with polynomial phase and regularity of distributions
• Estimates of the total variation distance between laws of Sobolev mappings on Gaussian spaces

Related

• Improved bounds for the total variation distance between stochastic polynomials
• Bounds for the total variation distance between second degree\n polynomials in normal random variables
• On distance in total variation between image measures
• A Note on Statistical Distances for Discrete Log-Concave Measures
• Fractional smoothness of images of logarithmically concave measures under polynomials