Accelerated Failure Time Models For Load Sharing Systems

Accelerated Failure Time Models For Load Sharing Systems
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DOI:
10.1109/tr.2014.2313793
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发表时间:
2014-04
影响因子:
5.9
通讯作者:
S. Sutar;U. Naik-Nimbalkar
S. Sutar;U. Naik-Nimbalkar
中科院分区:
计算机科学2区
文献类型:
--
作者:
S. Sutar;U. Naik-Nimbalkar

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通过加速失效时间模型对k取m系统中的负载分担现象进行了建模。这个模型导致了有序随机变量的多元分布族,这是序列顺序统计量的特例。为了说明的目的,我们讨论了线性故障率分布设置下的两部件并联系统的模型和估计问题。在这个设置中,我们讨论了对假设的检验,该假设认为部件的故障时间在统计上是独立的,而另一种方案是它们表现出负载分担现象。我们报告了模拟研究,展示了估计器的性能和测试程序。出于说明的目的,该测试还应用于两个数据集。
We model the load sharing phenomenon in a k-out-of- m system through the accelerated failure time model. This model leads to multivariate families of distributions for ordered random variables, which are particular cases of the sequential order statistics. For illustrative purpose, we discuss the model, and the estimation problem for a two component parallel system under the setting of a linear failure rate distribution. In this set up, we discuss a test for the hypothesis that the failure times of components are statistically independent against the alternative that they show the load sharing phenomenon. We report simulation studies showing the performance of the estimators, and the test procedure. The test is also applied to two data sets for illustrative purpose.