Nonparametric Analysis on System Availability: Confidence Bound and Power Function

Nonparametric Analysis on System Availability: Confidence Bound and Power Function
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系统可用性的非参数分析:置信界和幂函数

DOI:
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发表时间:
2007
期刊:
影响因子:
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通讯作者:
Yunn
Yunn
中科院分区:
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文献类型:
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作者:
J. Ke;Yunn

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在这项研究中,我们考虑的稳态可用度,表示为A,系统的分布免费的故障和修复时间。特别地,我们有兴趣构造一个置信下限和一个测试框架。我们首先证明了A的自然估计量(定义为失效时间样本均值与失效时间样本均值和维修时间样本均值之和的比值)是强相合且渐近正态的。然后使用的渐近分布,我们开发了A的置信下限和假设检验。最后,通过数值模拟研究,说明了在应用推理中A.
In this study we consider the steady-state availability, denoted A, of a system with distribution-free failure and repair time. In particular, we are interested in constructing a lower confidence bound and a testing framework for A. We first show that the natural estimator  of A, defined as the ratio of the failure time sample mean to the sum of the failure time sample mean and the repair time sample mean, is strongly consistent and asymptotically normal. Then using the asymptotic distribution of Â, we develop a lower confidence bound and a hypothesis test for A. Finally, a numerical simulation study is conducted in order to illustrate the performance of  in applied inference about A.