Concentration around the mean for maxima of empirical processes

Details Concentration around the mean for maxima of empirical processes Concentration around the mean for maxima of empirical processes

2005-06-29

arxiv.org/abs/math/0506594v1

Annals of Probability 2005, Vol. 33, No. 3, 1060-1077

Mathematics

Probability

Published at http://dx.doi.org/10.1214/009117905000000044 in the Annals of Probability (http://www.imstat.org/aop/) by the Ins

Scientific paper

10.1214/009117905000000044

In this paper we give optimal constants in Talagrand's concentration
inequalities for maxima of empirical processes associated to independent and
eventually nonidentically distributed random variables. Our approach is based
on the entropy method introduced by Ledoux.

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