Best possible bounds of the von Bahr-Esseen type

DOI10.15352/afa/06-4-1zbMath1319.60036arXiv1008.5350OpenAlexW2963033387MaRDI QIDQ2516285

Iosif Pinelis

Publication date: 12 August 2015

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.5350

zbMATH Keywords

concentration of measureproduct spaceprobability inequality\(p\)-uniformly smooth normed space\(q\)-uniformly convex normed space

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometry and structure of normed linear spaces (46B20) Probabilistic methods in Banach space theory (46B09) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (7)

Upper bounds for superquantiles of martingales ⋮ Deviation inequalities for stochastic approximation by averaging ⋮ Sharp Rosenthal‐type inequalities for mixtures and log‐concave variables ⋮ Positive-part moments via characteristic functions, and more general expressions ⋮ Weighted inequalities for \(q\)-functions ⋮ Deviation inequalities for separately Lipschitz functionals of composition of random functions ⋮ Optimal Re-centering Bounds, with Applications to Rosenthal-type Concentration of Measure Inequalities

This page was built for publication: Best possible bounds of the von Bahr-Esseen type