Improved Bonferroni inequalities via abstract tubes. Inequalities and identities of inclusion-exclusion type

DOI10.1007/b13785zbMath1026.05009OpenAlexW2504281202MaRDI QIDQ1412081

Klaus Dohmen

Publication date: 5 November 2003

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b13785

zbMATH Keywords

Möbius functionsclosure operatorEuler characteristicssemilatticechromatic polynomialBonferroni inequalitieskernel operatorabstract tubesmatroid polynomial

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Combinatorial identities, bijective combinatorics (05A19) Graph theory (including graph drawing) in computer science (68R10) Combinatorial probability (60C05) Combinatorial inequalities (05A20)

Related Items (14)

Mincut ideals of two-terminal networks ⋮ Some Cardinal Estimations via the Inclusion-Exclusion Principle in Finite $$T_0$$ Topological Spaces ⋮ Computational algebraic algorithms for the reliability of generalized \(k\)-out-of-\(n\) and related systems ⋮ Computing bounds for the probability of the union of events by different methods ⋮ Simplifying Inclusion–Exclusion Formulas ⋮ Lower and Upper Bounds for Rectangular Probabilities ⋮ Complexity of some graph-based bounds on the probability of a union of events ⋮ Bonferroni-type inequalities and binomially bounded functions ⋮ Multiple comparisons of several homoscedastic multivariate populations ⋮ Using binary patterns for counting falsifying assignments of conjunctive forms ⋮ Combinatorial and Geometric View of the System Reliability Theory ⋮ Betti numbers and minimal free resolutions for multi-state system reliability bounds ⋮ Improved Bonferroni Inequalities and Binomially Bounded Functions ⋮ Divisors on graphs, orientations, syzygies, and system reliability

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