M. Harel et al., WEAK-CONVERGENCE OF WEIGHTED EMPIRICAL U-STATISTICS PROCESSES FOR DEPENDENT RANDOM-VARIABLES, Journal of Multivariate Analysis, 48(2), 1994, pp. 297-314
A weak convergence of the weighted empirical U-statistic with respect
to the Skorohod topology is obtained for absolutely regular random var
iables. It is a generalization of the results of F. H, Ruymgaart and M
. C. A. van Zuijlen (1991, J. Statist. Plann. Inference) for i.i.d. ra
ndom variables. (C) 1994 Academic Press, Inc.