A Caltech Library Service

An equivalence result for VC classes of sets

Joslin, Scott and Sherman, Robert P. (2003) An equivalence result for VC classes of sets. Econometric Theory, 19 (6). pp. 1123-1127. ISSN 0266-4666. doi:10.1017/S0266466603196090.

See Usage Policy.


Use this Persistent URL to link to this item:


Let R and θ be infinite sets and let A # R × θ. We show that the class of projections of A onto R is a Vapnik–Chervonenkis (VC) class of sets if and only if the class of projections of A onto θ is a VC class. We illustrate the result in the context of semiparametric estimation of a transformation model. In this application, the VC property is hard to establish for the projection class of interest but easy to establish for the other projection class.

Item Type:Article
Related URLs:
URLURL TypeDescription
Additional Information:Copyright © 2003 Cambridge University Press. Reprinted with permission. Published online by Cambridge University Press 24 September 2003
Issue or Number:6
Record Number:CaltechAUTHORS:JOSet03
Persistent URL:
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4692
Deposited By: Archive Administrator
Deposited On:03 Sep 2006
Last Modified:08 Nov 2021 20:19

Repository Staff Only: item control page