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VOL. 5 | 2009 A note on bounds for VC dimensions
Jon A. Wellner, Aad van der Vaart

## Abstract

We provide bounds for the VC dimension of class of sets formed by unions, intersections, and products of VC classes of sets $\mathcal{C}$1, …, $\mathcal{C}$m.

## Information

Published: 1 January 2009
First available in Project Euclid: 2 February 2010

zbMATH: 1243.60009
MathSciNet: MR2797943

Digital Object Identifier: 10.1214/09-IMSCOLL508

Subjects:
Primary: 60B99
Secondary: 62G30

Keywords: combining classes , Entropy , inequality , Vapnik-Chervonenkis class