English

A note on Talagrand's convex hull concentration inequality

Probability 2007-05-23 v1 Combinatorics

Abstract

The paper reexamines an argument by Talagrand that leads to a remarkable exponential tail bound for the concentration of probability near a set. The main novelty is the replacement of a mysterious Calculus inequality by an application of Jensen's inequality.

Cite

@article{arxiv.math/0611770,
  title  = {A note on Talagrand's convex hull concentration inequality},
  author = {David Pollard},
  journal= {arXiv preprint arXiv:math/0611770},
  year   = {2007}
}

Comments

To appear in Festschrift for Piet Groeneboom

R2 v1 2026-07-22T17:46:54.465Z