WEAK-CONVERGENCE OF WEIGHTED EMPIRICAL U-STATISTICS PROCESSES FOR DEPENDENT RANDOM-VARIABLES

[摘要] A weak convergence of the weighted empirical U-statistic with respect to the Skorohod topology is obtained for absolutely regular random variables. 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. random variables. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-01

[关键词] WEIGHTED EMPIRICAL U-STATISTICS;WEAK CONVERGENCE;SKOROHOD TOPOLOGY;ABSOLUTE REGULARITY