On conditional Borel-Cantelli lemmas for sequences of random variables

DOI10.1016/j.jmaa.2012.10.001zbMath1263.60030OpenAlexW2067677716WikidataQ124851469 ScholiaQ124851469MaRDI QIDQ1931545

Jicheng Liu, B. L. S. Prakasa Rao

Publication date: 14 January 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.10.001

zbMATH Keywords

conditional Borel-Cantelli lemmaweighted Borel-Cantelli lemma

Mathematics Subject Classification ID

Limit theorems in probability theory (60F99)

Related Items (11)

From Conditional Independence to Conditionally Negative Association: Some Preliminary Results ⋮ On conditional Borel-Cantelli lemmas for sequences of random variables ⋮ Conditionally negative association resulting from multinomial distribution ⋮ On inequalities for conditional probabilities of unions of events and the conditional Borel-Cantelli lemma ⋮ Unnamed Item ⋮ A curious application of the Borel-Cantelli Lemmas, a result of Barndorff-Nielsen, and some open problems ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ Some results following from conditional characteristic functions ⋮ A conditional version of the extended Kolmogorov-Feller weak law of large numbers ⋮ Some preliminary results on conditionally ψ-mixing sequences of random variables ⋮ Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability

Cites Work

• Conditional independence, conditional mixing and conditional association
• A bilateral inequality on a nonnegative bounded random sequence
• Comments on the paper: A bilateral inequality on the Borel-Cantelli Lemma
• On the Borel-Cantelli lemma and its generalization
• On conditional Borel-Cantelli lemmas for sequences of random variables
• The Borel-Cantelli lemma under dependence conditions
• Upper and Lower Bounds for Probabilities in the Conditional Borel–Cantelli Lemma
• On the Rate of Growth of the Partial Maxima of a Sequence of Independent Identically Distributed Random Variables.
• A generalization of the Borel-Cantelli lemma
• A note on the Borel-Cantelli lemma
• A note on the Borel-Cantelli lemma
• Unnamed Item

This page was built for publication: On conditional Borel-Cantelli lemmas for sequences of random variables