| PURE JUMP SHOCK MODELS IN DISCRETE TIME CASE |
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| 引用本文： | 成世学. PURE JUMP SHOCK MODELS IN DISCRETE TIME CASE[J]. 系统科学与复杂性, 1991, 0(4) |
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| 作者姓名： | 成世学 |
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| 作者单位： | People's University |
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| 基金项目： | This work was supported by grant No.1880492 from the National Natural Science Foundation of China |
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| 摘 要： | A device is subject to damage caused by environmental shocks.Shocks occur randomly indiscrete time according to a properly defined family of independent random variables.Theincremental damage caused by a shock depends on the magnitude of the shock.The device has athreshold τ and it fails once the damage exceeds the threshold.The first failure time T of the deviceand its failure rate are examined.If τ is random,under mild conditions we show that the lifedistribution properties of the random threshold are inherited by the first failure time T.For fixed τ,the conditions for the failure rate to increase or to have an increasing average are also found.Finally,as an application of the main results,the additive deterioration models are briefly discussed.
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PURE JUMP SHOCK MODELS IN DISCRETE TIME CASE |
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| Cheng Shixue. PURE JUMP SHOCK MODELS IN DISCRETE TIME CASE[J]. Journal of Systems Science and Complexity, 1991, 0(4) |
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| Authors: | Cheng Shixue |
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| Abstract: | |
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| Keywords: | increasing homogeneous Markov chain first failure time discrete life distributions total positivity |
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