A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components

Jorge Navarro and Rafael Rubio

Naval Research Logistics (NRL), 2011, vol. 58, issue 5, 478-489

Abstract: We give necessary and sufficient conditions based on signatures to obtain distribution‐free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results. © 2011 Wiley Periodicals, Inc. Naval Research Logistics, 2011

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:wly:navres:v:58:y:2011:i:5:p:478-489

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