A new stochastic order based upon Laplace transform with applications |
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Authors: | Xiaohu Li Xiaoliang Ling Ping Li |
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Affiliation: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China;2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, China |
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Abstract: | This paper deals with nonnegative random variables having Laplace transforms as their reliability functions. We study a new stochastic order based upon Laplace transform. Some applications in actuarial science, frailty models and reliability are presented as well. |
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Keywords: | primary, 60E15 secondary, 60K10, 62N05 |
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