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On local U -statistic processes and the estimation of densities of functions of several sample variables

ANNALS OF STATISTICS, no. 3 (2007): 1105-1145

Cited: 71|Views26

Abstract

A notion of local U-statistic process is introduced and central limit theorems in various norms are obtained for it. This involves the development of several inequalities for U-processes that may be useful in other contexts. This local U-statistic process is based on an estimator of the density of a function of several sample variables pr...More

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