Tests for homogeneity of distributions of component lifetimes from system lifetime data with known system signatures
Tests for homogeneity of distributions of component lifetimes from system lifetime data with known system signatures
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DOI：
10.1002/nav.21662
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发表时间：
2015-10
期刊：
影响因子：
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通讯作者：
Jian Zhang;H. K. Tony Ng;N. Balakrishnan
中科院分区：
文献类型：
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作者：
Jian Zhang;H. K. Tony Ng;N. Balakrishnan
在本文中，我们讨论在系统签名已知的情况下根据系统寿命数据测试组件寿命分布的均匀性的问题。参数和非参数程序都是针对这个问题开发的。对于非参数检验，使用曼-惠特尼型统计量，并讨论其性能和局限性。接下来，我们假设组件寿命遵循指数分布，然后开发不同的参数测试。精确方法和渐近方法是在矩估计方法的基础上发展起来的。蒙特卡罗模拟研究用于比较不同参数过程与非参数过程的性能。根据模拟研究的结果，进行了讨论并提出了实际建议，最后提出了一些结论。 © 2015 Wiley periodicals, Inc. 海军研究后勤 62: 550–563, 2015
In this article, we discuss the problem of testing the homogeneity of distributions of component lifetimes based on system lifetime data when the system signatures are known. Both parametric and nonparametric procedures are developed for this problem. For nonparametric testing, the Mann–Whitney‐type statistic is used, and its performance and limitations are discussed. Next, we assume the component lifetimes to follow exponential distributions and then develop different parametric tests. Exact and asymptotic methods are developed based on the method of moments estimators. A Monte Carlo simulation study is used to compare the performance of different parametric procedures with that of the nonparametric procedure. Based on the results of the simulation study, discussions and practical recommendations are made and finally some concluding remarks are provided. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 550–563, 2015