An extension of the method of polynomials and a new reduction formula for Bonferroni-type inequalities

DOI10.1016/0167-7152(95)00110-7zbMath0852.60021OpenAlexW2027772404MaRDI QIDQ1916246

Italo Simonelli, Janos Galambos

Publication date: 8 December 1996

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

Full work available at URL: https://doi.org/10.1016/0167-7152(95)00110-7

zbMATH Keywords

Bonferroni-type inequalitiesbinomial momentsat least \(r\) events out of \(n\) occurringreduction to Bonferroni bounds of no occurrencesreduction to independent events

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (1)

An extension of the bivariate method of polynomials and a reduction formula for Bonferroni-type inequalities

Cites Work

• Bonferroni inequalities
• Bonferroni-Type Inequalities Via Interpolating Polynomials
• On the classical Bonferroni inequalities and the corresponding Galambos inequalities
• Beyond Inclusion-and-Exclusion: Natural Identities for P[Exactly t Events and P[at Least t Events] and Resulting Inequalities]
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