Functional limit theorems for U-processes. (English) Zbl 0665.60037

Nolan, Deborah; Pollard, David

Ann. Probab. 16, No. 3, 1291-1298 (1988).

The paper deals with the convergence in distribution of sequences of standardized U-processes considered as a collection of U-statistics indexed by a family of corresponding kernels.

Reviewer: R.Mnatsakanov

MSC:

60F17	Functional limit theorems; invariance principles
65C30	Numerical solutions to stochastic differential and integral equations

Keywords:

empirical processes; equicontinuity; goodness-of-fit statistics; convergence in distribution; U-statistics