Weak dimension-free concentration of measure

Citation
Sg. Bobkov et C. Houdre, Weak dimension-free concentration of measure, BERNOULLI, 6(4), 2000, pp. 621-632
Citations number
7
Categorie Soggetti
Mathematics
Journal title
BERNOULLI
ISSN journal
13507265 → ACNP
Volume
6
Issue
4
Year of publication
2000
Pages
621 - 632
Database
ISI
SICI code
1350-7265(200008)6:4<621:WDCOM>2.0.ZU;2-H
Abstract
We study a concentration property of product probability measures with resp ect to the supremum distance. This property is shown to be equivalent to th e conditions given by de Haan and Ridder for the stochastic boundedness of centered extreme samples.