基于排序集抽样的退化数据可靠性测试

IF 2.2 3区 工程技术 Q3 ENGINEERING, INDUSTRIAL
Wenhan Zhang, Xiaojun Zhu, Mu He, Balakrishnan Narayanaswamy
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引用次数: 0

摘要

在本文中,我们考虑了基于排序集抽样(RSS)的两个无效假设检验:和 ,这两个在可靠性方面广泛有用的检验。我们推导了似然比检验以及相关的精确和渐近结果。考虑到检验的显著性水平和功率固定不变,我们发现所提出的检验统计量优于现有的检验。在小样本情况下,所提出的检验能使可靠性函数的置信区间更窄。然后,我们比较了简单随机抽样和 RSS 方案得到的检验统计量,从而证明了使用 RSS 的效率。为说明起见,我们将建议的测试应用于可靠性文献中的退化数据。使用 RSS 后,测量成本降低,效率提高,这表明 RSS 数据在可靠性试验及其设计中的重要性和用途。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Reliability test for degradation data based on ranked set sampling
In this article, we consider test for the two null hypotheses for and , two widely useful tests in reliability, based on ranked set sampling (RSS). We derive the likelihood ratio test as well as the associated exact and asymptotic results. Considering a fixed significance level and power of the test, we show that the proposed test statistic outperforms the existing test. In small sample cases, the proposed test leads to a much narrower confidence interval for the reliability function . Then, the test statistics obtained from simple random sampling and RSS schemes are compared through which, the efficiency of using RSS is demonstrated. For illustration, we apply the proposed test to a degradation data from the reliability literature. Upon using RSS, the cost of measurement gets reduced and efficiency gets improved, suggesting the importance and use of RSS data in reliability experiments and their design.
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来源期刊
CiteScore
4.90
自引率
21.70%
发文量
181
审稿时长
6 months
期刊介绍: Quality and Reliability Engineering International is a journal devoted to practical engineering aspects of quality and reliability. A refereed technical journal published eight times per year, it covers the development and practical application of existing theoretical methods, research and industrial practices. Articles in the journal will be concerned with case studies, tutorial-type reviews and also with applications of new or well-known theory to the solution of actual quality and reliability problems in engineering. Papers describing the use of mathematical and statistical tools to solve real life industrial problems are encouraged, provided that the emphasis is placed on practical applications and demonstrated case studies. The scope of the journal is intended to include components, physics of failure, equipment and systems from the fields of electronic, electrical, mechanical and systems engineering. The areas of communications, aerospace, automotive, railways, shipboard equipment, control engineering and consumer products are all covered by the journal. Quality and reliability of hardware as well as software are covered. Papers on software engineering and its impact on product quality and reliability are encouraged. The journal will also cover the management of quality and reliability in the engineering industry. Special issues on a variety of key topics are published every year and contribute to the enhancement of Quality and Reliability Engineering International as a major reference in its field.
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