Abstract
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.
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This research was supported by the Program for New Century Excellent Talent in University, China.
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Li, X., Xu, M. Reversed hazard rate order of equilibrium distributions and a related aging notion. Stat Papers 49, 749–767 (2008). https://doi.org/10.1007/s00362-007-0046-7
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DOI: https://doi.org/10.1007/s00362-007-0046-7