Selector processes on classes of sets |
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Authors: | Michel Talagrand |
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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 |
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Abstract: | Consider the random subset X of ℕ obtained by selecting independently each integer with a probability δ. Consider a finite class of finite sets. We describe a combinatorial quantity that is of the same order as 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. |
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Keywords: | 60G05 |
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