The central limit theorem and the law of iterated logarithm for empirical processes under local conditions
type: Item
instance of: scholarly article
title: The central limit theorem and the law of iterated logarithm for empirical processes under local conditions
zbMATH Open document ID: 0618.60022
DOI: 10.1007/BF00334041
author: Yanyan Li
publication date: 1988-01-01T00:00:00Z
review text: A CLT and LIL are proved under \(weak\)-L\({}_ 2\) Gaussian bracketing conditions (weaker than the usual ones). These results have wide applicability and in particular provide an improvement of the Jain-Marcus central limit theorem for C(S)-valued random variables.
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60F17
zbMATH DE Number: 4003147
zbMATH Keywords: central limit theorem
zbMATH Keywords: law of iterated logarithm
zbMATH Keywords: empirical processes
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00334041
OpenAlex ID: W2083005869
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
description: scientific article; zbMATH DE number 4003147