U-PROCESSES INDEXED BY VAPNIK-CERVONENKIS CLASSES OF FUNCTIONS WITH APPLICATIONS TO ASYMPTOTICS AND BOOTSTRAP OF U-STATISTICS WITH ESTIMATED PARAMETERS
[摘要] 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.
[发布日期] 1994-08-01 [发布机构]
[效力级别] [学科分类]
[关键词] U-STATISTICS WITH ESTIMATED PARAMETERS;BOOTSTRAP;TRIMMING;VC CLASSES;EMPIRICAL PROCESSES [时效性]
