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Tail Bounds for the Suprema of Empirical Processes over Unbounded Classes of Functions

✍ Scribed by Di Xin Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2005
Tongue
English
Weight
173 KB
Volume
22
Category
Article
ISSN
1439-7617

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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.