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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McMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
King Abdulaziz Univ, Dept Stat, Jeddah 21413, Saudi ArabiaMcMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
Balakrishnan, Narayanaswamy
Haidari, Abedin
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Shahid Beheshti Univ, Fac Math Sci, Tehran, IranMcMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
Haidari, Abedin
Masoumifard, Khaled
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Univ Tehran, Sch Math Stat & Comp Sci, Tehran, IranMcMaster Univ, Dept Math & Stat, Hamilton, ON, Canada
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McMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L85 4K1, CanadaMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L85 4K1, Canada
Balakrishnan, Narayanaswamy
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Barmalzan, Ghobad
Haidari, Abedin
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Univ Zabol, Dept Stat, Sistan Baluchestan, IranMcMaster Univ, Dept Math & Stat, 1280 Main St West, Hamilton, ON L85 4K1, Canada