Weak dimension-free concentration of measure

Sergey G. Bobkov; Christian Houdré

doi:bj/1081449597

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Home > Journals > Bernoulli > Volume 6 > Issue 4 > Article

August 2000 Weak dimension-free concentration of measure

Sergey G. Bobkov, Christian Houdré

Author Affiliations +

Sergey G. Bobkov,¹ Christian Houdré²
¹Department of Mathematics, Syktyvkar University
²Southeast Applied Analysis Center, School of Mathematics

Bernoulli 6(4): 621-632 (August 2000).

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Abstract

We study a concentration property of product probability measures with respect to the supremum distance. This property is shown to be equivalent to the conditions given by de Haan and Ridder for the stochastic boundedness of centred extreme samples.