A central limit theorem for two-sample U-processes

Natalie Neumeyer

Statistics & Probability Letters, 2004, vol. 67, issue 1, 73-85

Abstract: In this paper collections of two-sample U-statistics are considered as a U-process indexed by a class of kernels. Sufficient conditions for a functional central limit theorem in the non-degenerate case are given and a uniform law of large numbers is obtained. The conditions are in terms of random covering numbers and are, for example, fulfilled for Vapnik-Chervonenkis classes of functions.

Keywords: U-statistics; Empirical; processes; Covering; numbers; Maximal; inequalities; Functional; limit; theorem (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (4)

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