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Vapnik-Chervonenkis Type Conditions and Uniform Donsker Classes of Functions

Michel Talagrand
The Annals of Probability
Vol. 31, No. 3 (Jul., 2003), pp. 1565-1582
Stable URL: http://www.jstor.org/stable/3481500
Page Count: 18
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Vapnik-Chervonenkis Type Conditions and Uniform Donsker Classes of Functions
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Abstract

Given a bounded class of functions, we introduce a combinatorial quantity (related to the idea of Vapnik-Chervonenkis classes) that is much more explicit than the Koltchinskii-Pollard entropy, but is proved to be essentially of the same order.

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