A functional law of the iterated logarithm for U-statistic type processes
type: Item
instance of: scholarly article
title: A functional law of the iterated logarithm for U-statistic type processes
zbMATH Open document ID: 1032.60031
DOI: 10.1023/A:1025792223679
published in: Acta Applicandae Mathematicae
publication date: 2003-12-09T00:00:00Z
review text: A functional law of the iterated logarithm is proved for U-statistic type processes of the form introduced by \textit{M. Csörgő} and \textit{L. Horváth} [in: Multivariate statistics and probability, 151-168 (1989; Zbl 0709.62003)]. The result is used to determine the almost sure set of limit points for change-point estimators.
reviewed by: Neville Weber
Mathematics Subject Classification ID: 60F17
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G20
zbMATH DE Number: 2015151
zbMATH Keywords: Strassen type invariance principle
zbMATH Keywords: U-statistic process
zbMATH Keywords: change-point estimator
zbMATH Keywords: cluster points
zbMATH Keywords: antisymmetric kernel
author: Dietmar Ferger
MaRDI profile type: Publication
full work available at URL: a:1025792223679
OpenAlex ID: W108115828
description: scientific article; zbMATH DE number 2015151