Preservation properties for the Laplace transform ordering of residual lives |
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| Authors: | Hadi Ahmed Mohamed Kayid |
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| Institution: | (1) The Institute of Statistical Studies and Research, Cairo University, Egypt;(2) Faculty of Education (Suez), Suez Canal University, Egypt |
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| Abstract: | Several preservation results for the Laplace transform ordering of residual lives (Lt−rl) are given. In particular, we show that theTt−rl-order is preserved under convolutions, mixtures and weak convergence. Some examples of interest in reliability theory are
also presented. |
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