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Stable Limits for Empirical Processes on Vapnik-Červonenkis Classes of Functions

✍ Scribed by J. Romo

Publisher: Elsevier Science
Year: 1993
Tongue: English
Weight: 492 KB
Volume: 45
Category: Article
ISSN: 0047-259X
DOI: 10.1006/jmva.1993.1027

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✦ Synopsis

Alexander's (1987, Ann. Probah. 15 178-203) central limit theorem for empirical processes on Vapnik-Cervonenkis classes of functions is extended to the case with non-Gaussian stable limits. The corresponding weak laws of large numbers are also established. & 1993 Academic Press. Inc.