On the strong form of the Borel-Cantelli lemma

DOI10.1134/S1063454122010058zbMath1497.60035OpenAlexW4281636061WikidataQ124856723 ScholiaQ124856723MaRDI QIDQ2674730

Yanyan Li

Publication date: 14 September 2022

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454122010058

zbMATH Keywords

strong law of large numbersalmost sure convergencequantitative Borel-Cantelli lemmastrong form of Borel-Cantelli lemmasums of indicators of events

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probabilistic measure theory (60A10) Axioms; other general questions in probability (60A05) Diophantine approximation, transcendental number theory (11J99)

Related Items (1)

On the strong forms of the Borel-Cantelli lemma and dynamical systems with polynomial decay of correlations

Cites Work

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• On strong forms of the Borel-Cantelli lemma and intermittent interval maps
• Bounds for probabilities of unions of events and the Borel-Cantelli lemma
• Some metrical theorems in number theory
• The growth of sums of indicators of events
• On lower and upper bounds for probabilities of unions and the Borel-Cantelli lemma
• Metrical Theorems on Fractional Parts of Sequences
• On the Application of the Borel-Cantelli Lemma
• A note on the Borel-Cantelli lemma

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