Majorization of Weighted Trees: A New Tool to Study Correlated Stochastic Systems

DOI10.1287/moor.25.2.298.12224zbMath0981.60091OpenAlexW2055169250MaRDI QIDQ2757638

Haijun Li, Susan H. Xu

Publication date: 26 November 2001

Published in: Mathematics of Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/moor.25.2.298.12224

zbMATH Keywords

partially ordered setstochastic comparisonassemble-to-order systemscorrelated stochastic systemsinclusion-exclusion transformationspositive orthant dependentshock models in random environmentsimultaneous arrival processtree majorization

Mathematics Subject Classification ID

Communication networks in operations research (90B18) Queueing theory (aspects of probability theory) (60K25) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20)

Related Items (7)

Supermodular comparison of time-to-ruin random vectors ⋮ Strong stationary duality for Möbius monotone Markov chains ⋮ Duality of the Multivariate Distributions of Marshall–Olkin Type and Tail Dependence ⋮ Ordering ruin probabilities for dependent claim streams. ⋮ Tail dependence comparison of survival Marshall-Olkin copulas ⋮ Dependence structures of multivariate Bernoulli random vectors ⋮ General Marshall–Olkin Models, Dependence Orders, and Comparisons of Environmental Processes

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