Open Access
December, 1989 Some New Vapnik-Chervonenkis Classes
G. Stengle, J. E. Yukich
Ann. Statist. 17(4): 1441-1446 (December, 1989). DOI: 10.1214/aos/1176347373

Abstract

The theory of semialgebraic sets is used to generate new Vapnik-Chervonenkis (VC) classes of positivity sets. It is also shown that certain analytic families of positivity sets are VC.

Citation

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G. Stengle. J. E. Yukich. "Some New Vapnik-Chervonenkis Classes." Ann. Statist. 17 (4) 1441 - 1446, December, 1989. https://doi.org/10.1214/aos/1176347373

Information

Published: December, 1989
First available in Project Euclid: 12 April 2007

zbMATH: 0697.60026
MathSciNet: MR1026291
Digital Object Identifier: 10.1214/aos/1176347373

Subjects:
Primary: 60B99
Secondary: 32C05

Keywords: semialgebraic sets , semianalytic positivity sets , Vapnik-Chervonenkis class

Rights: Copyright © 1989 Institute of Mathematical Statistics

Vol.17 • No. 4 • December, 1989
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