Preservation of generalized ageing classes on the residual life at random time |
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| Authors: | Nanlian Cai Yaohui Zheng |
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| Institution: | a School of Sciences, Jimei University, Xiamen 361021, China
b Institute of Mathematics, Xiamen University, Xiamen 361005, China |
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| Abstract: | In this paper, we provide some new preservation properties of generalized ageing classes (s-IFR) on the residual life at random time, where s is a nonnegative integer. We also obtain bounds of the residual life at exponential random time. Results are expected to be useful in the reliability, queue theory and actuarial science. |
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| Keywords: | Residual life at random time Equilibrium distribution Generalized ordering Generalized ageing classes |
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