On the Mean Past and the Mean Residual Life Under Double Monitoring
On the Mean Past and the Mean Residual Life Under Double Monitoring
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DOI：
10.1080/03610920701762796
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发表时间：
2008-02
期刊：
影响因子：
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通讯作者：
M. H. Poursaeed;A. Nematollahi
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文献类型：
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作者：
M. H. Poursaeed;A. Nematollahi
本文考虑一个由n个相同元件组成的并联系统，使得元件的寿命相互独立，且具有一个共同的分布函数F。假设在时间t1时组件的故障总数为m，并且在时间t2（t1 <t2）时，系统的所有组件都发生故障或者系统仍然工作。在这种情况下，我们感兴趣的是研究的平均过去寿命（MPL）的组件和平均剩余寿命（MRL）的系统。研究了MPL和MRL的一些性质，并导出了MPL和MRL的一些性质。它还表明，潜在的分布函数F可以恢复从建议的MPL和指数分布的特征给出了基于MRL。
In the present article, we consider a parallel system consisting of n identical components, such that the lifetimes of components are independent and have a common distribution function F. It is assumed that the total number of failures of the components at time t 1 is m and at time t 2 (t 1 < t 2), all components of the system have failed or the system is still working. Under these conditions, we are interested in the study of the mean past lifetime (MPL) of the components and the mean residual lifetime (MRL) of the system. Several properties of the MPL and MRL are studied and several properties of those are derived. It is also shown that the underlying distribution function F can be recovered from the proposed MPL and a characterization of the exponential distribution is given based on MRL.