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Reversed hazard rate order of equilibrium distributions and a related aging notion. (English) Zbl 1309.62032

Summary: This paper deals with preservation of the reversed hazard rate order between equilibrium random variables under formations of some reliability structures. We further investigate a new aging notion based upon the reversed hazard rate order between a random life and its equilibrium version. A nonparametric method is developed to test the exponentiality against such a strict aging property, some numerical results are presented as well.

MSC:

62E15 Exact distribution theory in statistics
60K10 Applications of renewal theory (reliability, demand theory, etc.)
62N05 Reliability and life testing
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