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

Miguel A. Arcones and Evarist Giné

Stochastic Processes and their Applications, 1994, vol. 52, issue 1, 17-38

Abstract: 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.

Keywords: U-statistics; with; estimated; parameters; Bootstrap; Trimming; VC; classes; Empirical; processes (search for similar items in EconPapers)
Date: 1994
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