Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure
type: Item
instance of: scholarly article
title: Weak convergence and Glivenko-Cantelli results for empirical processes of U-statistic structure
zbMATH Open document ID: 0685.60037
DOI: 10.1016/0304-4149(89)90046-X
author: Wilhelm Schneemeier
published in: Stochastic Processes and their Applications
publication date: 1989-01-01T00:00:00Z
review text: Empirical processes of U-statistic structure indexed by rather more general Vapnik-Chervonenkis classes of sets are studied for independent, but not necessarily identically distributed observations. Glivenko- Cantelli and weak convergence results are obtained by using a representation of these processes as an average of certain empirical processes.
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 4122964
zbMATH Keywords: Vapnik-Chervonenkis classes
zbMATH Keywords: weak convergence
zbMATH Keywords: empirical processes
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4122964