A note on necessary and sufficient conditions for ordering properties of coherent systems with exchangeable components |
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Authors: | Jorge Navarro Rafael Rubio |
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Institution: | Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain |
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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 |
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Keywords: | coherent system k ‐out‐of‐ n system exchangeability order statistic stochastic ordering hazard rate ordering likelihood ratio ordering |
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