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

Authors
HAREL M OCINNEIDE CA PURI ML
Citation
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
Citations number
10
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of Multivariate Analysis → ACNP
ISSN journal
0047259X
Volume
48
Issue
2
Year of publication
1994
Pages
297 - 314
Database
ISI
SICI code
0047-259X(1994)48:2<297:WOWEUP>2.0.ZU;2-N
Abstract
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.