CaltechAUTHORS
  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. http://resolver.caltech.edu/CaltechAUTHORS:JOSet03

[img]
Preview
PDF
See Usage Policy.

50Kb

Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:JOSet03

Abstract

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
Additional Information:Copyright © 2003 Cambridge University Press. Reprinted with permission. Published online by Cambridge University Press 24 September 2003
Record Number:CaltechAUTHORS:JOSet03
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:JOSet03
Alternative URL:http://dx.doi.org/10.1017/S0266466603196090
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4692
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:03 Sep 2006
Last Modified:26 Dec 2012 09:00

Repository Staff Only: item control page