On inequalities for conditional probabilities of unions of events and the conditional Borel-Cantelli lemma

DOI10.3103/S1063454116040063zbMath1390.60070WikidataQ124814750 ScholiaQ124814750MaRDI QIDQ1708019

Peng Zhang

Publication date: 4 April 2018

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

zbMATH Keywords

Borel-Cantelli lemmaBonferroni inequalitiesprobabilities of unions of eventsconditional Borel-Cantelli lemma

Mathematics Subject Classification ID

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

Related Items (4)

On upper and lower bounds for probabilities of combinations of events ⋮ On inequalities for probabilities wherein at least \(r\) from \(n\) events occur ⋮ On inequalities for probabilities of joint occurrence of several events ⋮ On bounds for probabilities of combinations of events, the Jordan formula, and the Bonferroni inequalities

Cites Work

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• On inequalities for probabilities of unions of events and the Borel-Cantelli lemma
• The Borel-Cantelli lemma
• Conditional independence, conditional mixing and conditional association
• On conditional Borel-Cantelli lemmas for sequences of random variables
• Bounds for probabilities of unions of events and the Borel-Cantelli lemma
• On estimation of probabilities of unions of events with applications to the Borel-Cantelli lemma
• Upper and Lower Bounds for Probabilities in the Conditional Borel–Cantelli Lemma
• ON CONDITIONAL BOREL-CANTELLI LEMMA UNDER PAIRWISE EXTENDED CONDITIONAL NEGATIVE QUADRANT DEPENDENCE
• On lower and upper bounds for probabilities of unions and the Borel-Cantelli lemma

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