A Mixture Model of Proportional Reversed Hazard Rate |
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| Authors: | Xiaohu Li Zhouping Li |
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| Affiliation: | 1. School of Mathematics and Statistics , Lanzhou University , Lanzhou, China xhli@lzu.edu.cn;3. School of Mathematics and Statistics , Lanzhou University , Lanzhou, China |
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| Abstract: | This article investigates properties of mixture model of proportional reversed hazard rate. Firstly, the mixing random variable and the overall population variable are proved to be positively likelihood dependent. Secondly, lower bounds for the distribution function as well as the conditional distribution are established in the case that the mixing variable belongs to certain nonparametric classes. Finally, some stochastic orders on the mixing (baseline) variables are proved to be translated to the corresponding overall population variables. |
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| Keywords: | DRHR Hazard rate order HNBUE Likelihood ratio order Positively likelihood ratio dependent |
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