On bounds for probabilities of combinations of events, the Jordan formula, and the Bonferroni inequalities

DOI10.1134/S1063454119020055zbMath1448.60026OpenAlexW2960085005MaRDI QIDQ2289372

Publication date: 28 January 2020

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

Full work available at URL: https://doi.org/10.1134/s1063454119020055

zbMATH Keywords

Bonferroni inequalities Jordan formula probabilities of combinations of events probabilities of occurrence of several events

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05)

Related Items (1)

On upper and lower bounds for probabilities of combinations of events

Cites Work

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On inequalities for probabilities of unions of events and the Borel-Cantelli lemma
Bonferroni inequalities
A lower bound on the probability of a union
On inequalities for conditional probabilities of unions of events and the conditional Borel-Cantelli lemma
A lower bound on the probability of a finite union of events
Bounds for probabilities of unions of events and the Borel-Cantelli lemma
On inequalities for probabilities wherein at least \(r\) from \(n\) events occur
On inequalities for probabilities of joint occurrence of several events
On estimation of probabilities of unions of events with applications to the Borel-Cantelli lemma
On inequalities for values of first jumps of distribution functions and Hölder's inequality
Bonferroni-type inequalities
A note on the background of several Bonferroni–Galambos-type inequalities
Boole-Bonferroni Inequalities and Linear Programming
Closed Form Two-Sided Bounds for Probabilities that At Least r and Exactly r Out of n Events Occur
Upper and lower bounds for the probability that r events occur
On the classical Bonferroni inequalities and the corresponding Galambos inequalities
Best Linear Bonferroni Bounds
Bounds on the probability of the union and intersection of m events
On lower and upper bounds for probabilities of unions and the Borel-Cantelli lemma
An Inequality for Probabilities
Bounds for the Probability of a Union, with Applications
On Bonferroni-Type Inequalities of the Same Degree for the Probability of Unions and Intersections
A Bonferroni-Type Identity and Permutation Bounds
On the Application of the Borel-Cantelli Lemma

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