The Chibisov-O'Reilly theorem for empirical processes under contiguous measures
type: Item
instance of: scholarly article
title: The Chibisov-O'Reilly theorem for empirical processes under contiguous measures
zbMATH Open document ID: 0793.60022
DOI: 10.1016/0167-7152(94)90149-X
published in: Statistics \& Probability Letters
publication date: 1994-08-11T00:00:00Z
review text: The author proves that the weak convergence of weighted empirical processes of i.i.d. random variables for the optimal class of weight functions as proven by \textit{M. Csörgő}, \textit{S. Csörgő}, \textit{L. Horváth} and \textit{D. M. Mason} [Ann. Probab. 14, 31-85 (1986; Zbl 0589.60029)] continues to hold under contiguous measures for the same class of weight functions.
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 503662
zbMATH Keywords: Brownian bridge
zbMATH Keywords: contiguity
zbMATH Keywords: weak convergence
zbMATH Keywords: weighted empirical processes
zbMATH Keywords: weight functions
author: Barbara Szyszkowicz
reviewed by: Adhir K. Basu
MaRDI profile type: Publication
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full work available at URL: 0167-7152(94)90149-x
OpenAlex ID: W2047317299
description: scientific article; zbMATH DE number 503662