Maximal inequalities via bracketing with adaptive truncation
type: Item
instance of: scholarly article
title: Maximal inequalities via bracketing with adaptive truncation
zbMATH Open document ID: 1019.60015
DOI: 10.1016/S0246-0203(02)01138-X
author: Yanyan Li
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 2003-03-11T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77736
review text: A recursive interpretation for the technique (bracketing with adaptive truncation) is provided. A simple bound is derived for the expected value of the supremum of an empirical process. This leads to a simpler derivation of a functional central limit theorem under less number of assumptions about processes and functionals indexed by sets of functions.
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60G07
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 1879948
zbMATH Keywords: bracketing
zbMATH Keywords: adaptive truncation
zbMATH Keywords: empirical process
zbMATH Keywords: functional central limit theorem
reviewed by: V. Thangaraj
MaRDI profile type: Publication
OpenAlex ID: W1933603160
description: scientific article; zbMATH DE number 1879948