Improved Bonferroni Inequalities via Abstract Tubes Inequalities and Identities of Inclusion-Exclusion Type /

• Κύριος συγγραφέας: Dohmen, Klaus (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2003.
• Έκδοση: 1st ed. 2003.
• Σειρά: Lecture Notes in Mathematics, 1826
• Θέματα: Combinatorics.; Algebra.; Ordered algebraic structures.; Probabilities.; Order, Lattices, Ordered Algebraic Structures.; Probability Theory and Stochastic Processes.

This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms. All necessary definitions from grap...

Πίνακας περιεχομένων:

• 1. Introduction and Overview
• 2. Preliminaries
• 3.Bonferroni Inequalities via Abstract Tubes
• 4. Abstract Tubes via Closure and Kernel Operators
• 5. Recursive Schemes
• 6. Reliability Applications
• 7. Combinatorial Applications and Related Topics
• Bibliography
• Index.