Extensions of the Borel-Cantelli lemma in general measure spaces
type: Item
instance of: scholarly article
title: Extensions of the Borel-Cantelli lemma in general measure spaces
zbMATH Open document ID: 1362.60014
author: Xinghui Wang
author: Xiaoqin Li
author: Shuhe Hu
author: Xuejun Wang
published in: Journal of Theoretical Probability
publication date: 2015-01-06T00:00:00Z
review text: The authors give a new extension of a bilateral inequality on the Borel-Cantelli lemma for nonnegative unbounded measurable function sequences on a measure space. They consequently provide a weighted version of the Borel-Cantelli lemma on a measure space.
reviewed by: Giovanni Puccetti
Mathematics Subject Classification ID: 60E15
Mathematics Subject Classification ID: 60F20
zbMATH DE Number: 6383599
zbMATH Keywords: Borel-Cantelli lemma
zbMATH Keywords: bilateral inequality
zbMATH Keywords: measure space
MaRDI profile type: Publication
Wikidata QID: Q124964992
full work available at URL: s10959-013-0526-8
OpenAlex ID: W1984095030
cites work: Q3273354
cites work: Wiener's test and Markov chains
cites work: A note on the Borel-Cantelli lemma
cites work: Q5731217
cites work: Q3697981
cites work: On the sequence of partial maxima of some random sequences
cites work: Q3417823
cites work: Q5294255
cites work: Conditional independence, conditional mixing and conditional association
cites work: The Borel-Cantelli lemma
cites work: A generalization of the Borel-Cantelli lemma
cites work: The Borel-Cantelli lemma under dependence conditions
cites work: A bilateral inequality on the Borel-Cantelli lemma
cites work: Comments on the paper: A bilateral inequality on the Borel-Cantelli Lemma
cites work: A bilateral inequality on a nonnegative bounded random sequence
cites work: On the Borel-Cantelli lemma and its generalization
cites work: On the Application of the Borel-Cantelli Lemma
DOI: 10.1007/S10959-013-0526-8
description: scientific article; zbMATH DE number 6383599