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Some results on the proportional reversed hazards model. (English) Zbl 0967.60016
Summary: The proportional reversed hazards model consists in describing random failure times by a family \(\{[F(x)]^\theta,\;\theta>0\}\) of distribution functions, where \(F(x)\) is a baseline distribution function. We show various results on this model related to some topics in reliability theory, including ageing notions of random lifetimes, comparisons based on stochastic orders, and relative ageing of distributions.

MSC:
60E15 Inequalities; stochastic orderings
90B25 Reliability, availability, maintenance, inspection in operations research
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