On the closure of the IFR(2) and NBU(2) classes
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Publication:2731165
DOI10.1239/JAP/996986657zbMath0976.62096OpenAlexW1989811133MaRDI QIDQ2731165
M. Carmen Ruiz, Manuel Franco, José-María Ruiz
Publication date: 8 January 2002
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1239/jap/996986657
Inequalities; stochastic orderings (60E15) Characterization and structure theory of statistical distributions (62E10) Applications of renewal theory (reliability, demand theory, etc.) (60K10) Reliability and life testing (62N05)
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Preservation of increasing convex/concave order under the formation of parallel/series system of dependent components ⋮ Moment inequalities derived from comparing life with its equilibrium form ⋮ Weak aging properties for coherent systems with statistically dependent component lifetimes ⋮ Bounds for joint probabilities of multistate systems using preservation of log‐concavity ⋮ Some preservation results of NBUC aging property with applications ⋮ PRESERVATIONS OF NBUC AND NBU(2) CLASSES UNDER MIXTURES ⋮ Closure of NBU(2) class under the formation of parallel systems
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