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
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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 |
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