Some inequalities of Bonferroni-Galambos type

DOI10.1016/0167-7152(89)90075-8zbMath0672.60030OpenAlexW2078763149MaRDI QIDQ1120187

Yuan Xu, Xiao-Dong Tan

Publication date: 1989

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(89)90075-8

zbMATH Keywords

inequalitiesiteration methodbinomial momentsBonferroni-Galambosnumber of occurrences

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Combinatorial probability (60C05)

Related Items (3)

A simplified proof of a Bonferroni-type inequality by Tan and Xu and its extension ⋮ Improved bivariate Bonferroni-type inequalities ⋮ A new method for generating Bonferroni-type inequalities by iteration

Cites Work

• Most stringent bounds on the probability of the union and intersection of m events for systems partially specified by s₁, s₂, …s_k, 2 ≦ k < m
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