Bounds for the probability of union of events following monotonic distribution

DOI10.1016/j.dam.2017.01.035zbMath1471.60013OpenAlexW2591923437MaRDI QIDQ2030441

V. Kumaran, R. Swarnalatha

Publication date: 7 June 2021

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2017.01.035

zbMATH Keywords

matrix inversediscrete moment problemunimodal distributionmonotonic distribution

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Linear programming (90C05) Combinatorial probability (60C05)

Related Items

Sharp probability bounds for the binomial moment problem with symmetry ⋮ Sharp bounds for the probability of union of \(n\) events when \(m\) number of binomial moments are known ⋮ Robust newsvendor problems: effect of discrete demands ⋮ The value of shape constraints in discrete moment problems: a review and extension

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Probabilistic bounds and algorithms for the maximum satisfiability problem
• Bounding the probability of the union of events by aggregation and disaggregation in linear programs
• Discrete moment problems with distributions known to be unimodal
• 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
• An upper bound for the probability of a union
• Most Stringent Bounds on Aggregated Probabilities of Partially Specified Dependent Probability Systems
• Polynomially Computable Bounds for the Probability of the Union of Events
• An Inequality for Probabilities
• On the Application of the Borel-Cantelli Lemma