Tail hazard rate ordering properties of order statistics and coherent systems | Zendy

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Tail hazard rate ordering properties of order statistics and coherent systems

Author(s) -

Navarro Jorge

Publication year - 2007

Publication title -

naval research logistics (nrl)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.665

H-Index - 68

eISSN - 1520-6750

pISSN - 0894-069X

DOI - 10.1002/nav.20251

Subject(s) - weibull distribution , order statistic , context (archaeology) , stochastic ordering , representation (politics) , exponential function , exponential distribution , mathematics , hazard , statistical physics , pareto principle , statistics , order (exchange) , econometrics , economics , physics , mathematical analysis , paleontology , chemistry , organic chemistry , finance , politics , political science , law , biology

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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