| 单调关联系统休止时间的随机性质 |
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| 引用本文： | 贾彬霞,张正成.单调关联系统休止时间的随机性质[J].河南师范大学学报(自然科学版),2018(3):19-25. |
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| 作者姓名： | 贾彬霞 张正成 |
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| 作者单位： | 兰州交通大学数理学院 |
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| 摘 要： | Signature是研究单调关联系统时要用到一个有用的工具.基于元件寿命的顺序统计量的条件休止时间,建立了由n个独立同分布元件构成的单调关联系统的条件休止时间的混合表达式.建立在该混合表达式上,对具有不同元件或结构的两个系统的条件休止时间进行了随机比较.
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| 关 键 词： | signature 单调关联系统 休止时间 次序统计量 随机序 |
On the conditional inactivity time of coherent system |
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| Institution: | ,School of Mathematics and Physics,Lanzhou Jiaotong University |
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| Abstract: | The concept of "signature" is a useful tool to study the reliability properties of a coherent system.A mixture representation of the reliability function of conditional inactivity time of coherent system with nindependent and identically distributed components was built in terms of the reliability functions of conditional inactivity times of order statistics.Based on the mixture representations,and then we carry out stochastic comparisons between the conditional inactivity time of two coherent systems with different structures or different component lifetimes. |
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| Keywords: | signature coherent system inactivity time order statistics stochastic order |
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