A note on the Borel-Cantelli lemma

DOI10.1016/S0167-7152(02)00113-XzbMath1017.60004WikidataQ124802097 ScholiaQ124802097MaRDI QIDQ5917503

Valentin V. Petrov

Publication date: 7 May 2003

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

zbMATH Keywords

independenceBorel-Cantelli lemma

Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Axioms; other general questions in probability (60A05)

Related Items (19)

On inequalities for probabilities of unions of events and the Borel-Cantelli lemma ⋮ Strong laws of large numbers for WAPND Banach-valued random elements ⋮ On conditional Borel-Cantelli lemmas for sequences of random variables ⋮ On the strong form of the Borel-Cantelli lemma ⋮ Unnamed Item ⋮ Persistent non-statistical dynamics in one-dimensional maps ⋮ On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations ⋮ Unnamed Item ⋮ The Marcinkiewicz-Zygmund-type strong law of large numbers with general normalizing sequences ⋮ 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 ⋮ A generalization of the Borel-Cantelli lemma ⋮ A bilateral inequality on the Borel-Cantelli lemma ⋮ On strong forms of the Borel-Cantelli lemma and intermittent interval maps ⋮ Moment estimates in the first Borel-Cantelli lemma with applications to mean deviation frequencies ⋮ On Strong Convergence

Cites Work

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• Wiener's test and Markov chains
• On the Application of the Borel-Cantelli Lemma
• A note on the Borel-Cantelli lemma

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