Upper and Lower Bounds for Probabilities in the Conditional Borel–Cantelli Lemma

DOI10.1080/07362990903415841zbMath1192.60062OpenAlexW2029546381WikidataQ125017183 ScholiaQ125017183MaRDI QIDQ3405556

B. L. S. Prakasa Rao

Publication date: 10 February 2010

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

Full work available at URL: https://doi.org/10.1080/07362990903415841

zbMATH Keywords

upper boundlower boundconditional independenceconditional Borel-Cantelli lemma

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Strong limit theorems (60F15)

Related Items

On conditional Borel-Cantelli lemmas for sequences of random variables ⋮ On inequalities for conditional probabilities of unions of events and the conditional Borel-Cantelli lemma ⋮ 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 ⋮ Conditional mean convergence theorems of conditionally dependent random variables under conditions of integrability

Cites Work

• A bilateral inequality on the Borel-Cantelli lemma
• A generalization of the Borel-Cantelli lemma