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Stochastic comparisons for the number of working components of a system in random environment |
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| Authors: | Xiaoliang Ling Ping Li |
| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, 730000, China 2. College of Sciences, Hebei University of Science and Technology, Shijiazhuang, 050018, China 3. Dongling School of Economics and Management, University of Science and Technology, Beijing, 100083, China |
| Abstract: | In terms of stochastic orders, the purpose of this paper is to show how the random environment can affect the number of working components of a system with heterogeneous components sharing a common random environment. Applications to a class of semiparametric mixture models, stress-strength model and warm standby system are presented. |
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