On extremes of bivariate residual lifetimes from generalized Marshall–Olkin and time transformed exponential models |
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Authors: | Yinping You Xiaohu Li Narayanaswamy Balakrishnan |
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Institution: | 1. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China 2. Department of Mathematics and Statistics, McMaster University, Hamilton, ON, L8S 4K1, Canada 3. Department of Statistics, King Abdulaziz University, Jidda, Saudi Arabia
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Abstract: | We study here extremes of residuals of the bivariate lifetime and the residual of extremes of the two lifetimes. In the case of generalized Marshall–Olkin model and the total time transformed exponential model, we first present some sufficient conditions for the extremes of residuals to be stochastically larger than the residual of the corresponding extremes, and then investigate the stochastic order of the residual of extremes of the two lifetimes based on the majorization of the age vector of the residuals. |
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