Reversed hazard rate order of equilibrium distributions and a related aging notion

By Xiaohu Li, Maochao Xu. 2008

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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.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/1e03b0d93640b06a30843c6404487d771d9177ab