Abstract
In this article we present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.
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Koutras, M.V., Triantafyllou, I.S. & Eryilmaz, S. Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components. Methodol Comput Appl Probab 18, 1081–1095 (2016). https://doi.org/10.1007/s11009-014-9433-4
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DOI: https://doi.org/10.1007/s11009-014-9433-4