| 失效单调关联系统的条件存活元件数量 |
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| 引用本文： | 熊文洁,张正成.失效单调关联系统的条件存活元件数量[J].应用概率统计,2020(2):151-161. |
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| 作者姓名： | 熊文洁 张正成 |
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| 作者单位： | 兰州交通大学数理学院;海南师范大学数学与统计学院 |
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| 基金项目： | 海南省自然科学基金项目(批准号:SQ2019MSXM0967)资助. |
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| 摘 要： | 单调关联系统在可靠性,生存分析和其他生命科学中扮演着非常重要的角色.在本文中,我们考虑了n中取(n-k+1)系统中存活元件的数量,假设在时刻t时存活的元件至少有(n-m+1)个,且系统在时刻t处于失效状态.在此条件下,我们计算系统中存活元件数量为i(i=n-m+1,…,n-k)的概率,从而获得了其可靠性与几个随机性质.此外,我们将结果扩展到具有绝对连续可交换元件的一般单调关联系统.
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| 关 键 词： | 单调关联系统 随机序 SIGNATURE 失效率递增 |
The Number of Working Components in a Conditional Coherent Failed System |
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| XIONG Wenjie,ZHANG Zhengcheng.The Number of Working Components in a Conditional Coherent Failed System[J].Chinese Journal of Applied Probability and Statisties,2020(2):151-161. |
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| Authors: | XIONG Wenjie ZHANG Zhengcheng |
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| Institution: | (School of Mathematics,Lanzhou Jiaotong University,Lanzhou,730070,China;School of Mathematics and Statistics,Hainan Normal University,Haikou,571158,China) |
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| Abstract: | Coherent systems are very important in reliability,survival analysis and other life sciences.In this paper,we consider the number of working components in an(n-k+ 1)-out-of-n system,given that at least(n-m+ 1) components are working at time t,and the system has failed at time t.In this condition,we compute the probability that there are exactly i working components.First the reliability and several stochastic properties are obtained.Furthermore,we extend the results to general coherent systems with absolutely continuous and exchangeable components. |
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| Keywords: | coherent system stochastic order signature IFR |
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