On the classical Bonferroni inequalities and the corresponding Galambos inequalities
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Publication:3923317
DOI10.2307/3213333zbMath0469.60020OpenAlexW4236014329MaRDI QIDQ3923317
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Publication date: 1981
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/3213333
Inequalities; stochastic orderings (60E15) Combinatorial probability (60C05) Foundations of probability theory (60A99)
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An extension of the method of polynomials and a new reduction formula for Bonferroni-type inequalities ⋮ Moment inequalities ⋮ Upper and lower bounds for the probability that r events occur ⋮ Bonferroni-type inequalities; Chebyshev-type inequalities for the distributions on \([0, n\)] ⋮ On bounds for probabilities of combinations of events, the Jordan formula, and the Bonferroni inequalities
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