The Borel-Cantelli lemma under dependence conditions

DOI10.1016/j.spl.2007.07.023zbMath1354.60006OpenAlexW2002571329WikidataQ124811153 ScholiaQ124811153MaRDI QIDQ2479332

Tapas Kumar Chandra

Publication date: 26 March 2008

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2007.07.023

zbMATH Keywords

Borel-Cantelli lemmapairwise independencepairwise negative quadrant dependencegeneralizations of the Borel-Cantelli lemmapairwise \(m\)-dependence

Mathematics Subject Classification ID

Probabilistic measure theory (60A10)

Related Items (6)

Strong laws of large numbers for pairwise PQD random variables: a necessary condition ⋮ On conditional Borel-Cantelli lemmas for sequences of random variables ⋮ Extensions of the Borel-Cantelli lemma in general measure spaces ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ Comments on the paper: A bilateral inequality on the Borel-Cantelli Lemma ⋮ On the strong convergence of weighted sums of widely dependent random variables

Cites Work

• On the sequence of partial maxima of some random sequences
• Wiener's test and Markov chains
• On the Application of the Borel-Cantelli Lemma
• A generalization of the Borel-Cantelli lemma
• A note on the Borel-Cantelli lemma
• A note on the Borel-Cantelli lemma
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