U-processes indexed by Vapnik-Cervonenkis classes of functions with applications to asymptotics and bootstrap of U-statistics with estimated parameters

Exponential inequalities, the law of the iterated logarithm and the bootstrap central limit theorem for U-processes indexed by Vapnik-Cervonenkis classes of functions are derived. These results are then applied to the asymptotics and the bootstrap of U-statistics with estimated parameters, in particular to the trimming of U-statistics.

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Year of publication:	1994
Authors:	Arcones, Miguel A. ; Giné, Evarist
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 52.1994, 1, p. 17-38
Publisher:	Elsevier
Keywords:	U-statistics with estimated parameters Bootstrap Trimming VC classes Empirical processes

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008875738