A generalization of the Borel-Cantelli lemma

DOI10.1016/j.spl.2004.01.008zbMath1101.60300OpenAlexW2066281691WikidataQ124801103 ScholiaQ124801103MaRDI QIDQ5916171

Valentin V. Petrov

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.spl.2004.01.008

Mathematics Subject Classification ID

Probabilistic measure theory (60A10)

Related Items (18)

Geometry of the Poisson Boolean model on a region of logarithmic width in the plane ⋮ On conditional Borel-Cantelli lemmas for sequences of random variables ⋮ Cutpoints of (1,2) and (2,1) random walks on the lattice of positive half line ⋮ Strengthenings of the Lyapunov, Hölder, and Minkowski inequalities ⋮ Unnamed Item ⋮ On the use of the Borel-Cantelli lemma in Markov chains ⋮ Extensions of the Borel-Cantelli lemma in general measure spaces ⋮ Bounds for probabilities of unions of events and the Borel-Cantelli lemma ⋮ Upper and lower bounds of Borel–Cantelli Lemma in a general measure space ⋮ The Borel-Cantelli lemma under dependence conditions ⋮ Independence and convergence in non-additive settings ⋮ A bilateral inequality on the Borel-Cantelli lemma ⋮ Conditional independence, conditional mixing and conditional association ⋮ Comments on the paper: A bilateral inequality on the Borel-Cantelli Lemma ⋮ On the strong convergence of weighted sums of widely dependent random variables ⋮ Upper and Lower Bounds for Probabilities in the Conditional Borel–Cantelli Lemma ⋮ Moment estimates in the first Borel-Cantelli lemma with applications to mean deviation frequencies ⋮ On Strong Convergence

Cites Work

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• 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 note on the Borel-Cantelli lemma
• A note on the Borel-Cantelli lemma

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