Bounds on the probability of the union and intersection of m events
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Publication:4104643
DOI10.2307/1426084zbMath0336.60013OpenAlexW2326351056MaRDI QIDQ4104643
Publication date: 1975
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1426084
Related Items (21)
A-priori upper bounds for the set covering problem ⋮ On the relationship between the discrete and continuous bounding moment problems and their numerical solutions ⋮ On inequalities for probabilities of unions of events and the Borel-Cantelli lemma ⋮ The truncated moment problem on \(\mathbb{N}_0\) ⋮ 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 ⋮ Strengthened bounds for the probability of \(k\)-out-of-\(n\) events ⋮ Computing bounds for the probability of the union of events by different methods ⋮ Monge properties, discrete convexity and applications ⋮ On the probability of union in the $n$-space ⋮ Bounds for probabilities of unions of events and the Borel-Cantelli lemma ⋮ On upper and lower bounds for probabilities of combinations of events ⋮ A new method for generating Bonferroni-type inequalities by iteration ⋮ Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on \([0, n\)] ⋮ Bounding the probability of the union of events by aggregation and disaggregation in linear programs ⋮ Bounds for increasing multi-state consecutive \(k\)-out-of-\(r\)-from-\(n\): \(F\) system with equal components probabilities ⋮ 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 ⋮ Polynomially Computable Bounds for the Probability of the Union of Events ⋮ Optimal capacity design under \(k\)-out-of-\(n\) and consecutive \(k\)-out-of-\(n\) type probabilistic constraints
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