Tail hazard rate ordering properties of order statistics and coherent systems |
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Authors: | Jorge Navarro |
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Affiliation: | Facultad de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, SpainFacultad de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Murcia, Spain |
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Abstract: | We study tail hazard rate ordering properties of coherent systems using the representation of the distribution of a coherent system as a mixture of the distributions of the series systems obtained from its path sets. Also some ordering properties are obtained for order statistics which, in this context, represent the lifetimes of k‐out‐of‐n systems. We pay special attention to systems with components satisfying the proportional hazard rate model or with exponential, Weibull and Pareto type II distributions. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007 |
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Keywords: | order statistics coherent systems hazard rate order proportional hazard rate model |
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