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Selector processes on classes of sets
Authors:Michel Talagrand
Institution:(1) Institut de Mathématiques, Université Paris VI, 4 Place Jussieu, 75230 Paris Cedex 05, France;(2) Department of Mathematics, Ohio State University, 231 W. 18th Avenue, Columbus, OH 43210, USA
Abstract:Consider the random subset X of ℕ obtained by selecting independently each integer with a probability δ. Consider a finite class MediaObjects/s00440-004-0350-2flb1.gif of finite sets. We describe a combinatorial quantity that is of the same order as MediaObjects/s00440-004-0350-2flb2.gif We then give a related result allowing to compute the supremum of the empirical process on a class of sets. Work partially supported by an NSF grant.
Keywords:60G05
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