Premium
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