Upper and lower bounds for the probability that r events occur

DOI10.1080/02331939308843872zbMath0814.60016OpenAlexW2033948287MaRDI QIDQ3835655

K. Sotirakoglou, Stratis Kounias

Publication date: 13 June 1995

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939308843872

zbMATH Keywords

minimizationlinear programming problemmaximizationindicator variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Statistical distribution theory (62E99)

Related Items (6)

A lower bound using Hamilton-type circuits and its applications ⋮ On inequalities for values of first jumps of distribution functions and Hölder's inequality ⋮ 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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• Inequalities for the probability of the occurrence of at least m out of n events
• On the classical Bonferroni inequalities and the corresponding Galambos inequalities
• Best Linear Bonferroni Bounds
• Most Stringent Bounds on Aggregated Probabilities of Partially Specified Dependent Probability Systems
• Best Possible Inequalities for the Probability of a Logical Function of Events
• On Bonferroni-Type Inequalities of the Same Degree for the Probability of Unions and Intersections
• A Bonferroni-Type Identity and Permutation Bounds

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