Higher order concentration of measure

DOI10.1142/S0219199718500438zbMath1447.60049arXiv1709.06838MaRDI QIDQ5380166

Holger Sambale, Friedrich Götze, Sergey G. Bobkov

Publication date: 4 June 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06838

zbMATH Keywords

logarithmic Sobolev inequalitiesEfron-Stein inequalityHoeffding decompositionconcentration of measure phenomenonfunctions on the discrete cube

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Large deviations (60F10) Approximation by polynomials (41A10) Remainders in approximation formulas (41A80)

Related Items

Berry-Esseen bounds for functionals of independent random variables, Rates of convergence in the central limit theorem for nonlinear statistics under relaxed moment conditions, Talagrand inequality at second order and application to Boolean analysis, Malliavin calculus for marked binomial processes and applications, Higher order concentration on Stiefel and Grassmann manifolds, Higher order concentration for functions of weakly dependent random variables, Second order concentration via logarithmic Sobolev inequalities, Concentration inequalities for bounded functionals via log-Sobolev-type inequalities, Concentration inequalities for polynomials in \(\alpha\)-sub-exponential random variables

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