基于排序集样本早期失效的双样本问题的顺序处理

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Sequential Analysis-Design Methods and Applications Pub Date : 2021-06-02 DOI:10.1080/07474946.2021.1912520

H. Ng, Tao Li, Yufei Zeng

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引用次数: 0

摘要

摘要本文提出了一类具有不同排序方案和不同α-花费的基于排序集样本(RSS-SPT)的顺序优先检验方法。得到了所建议的RSS-SPT检验统计量的精确零分布，并列出了相应的临界值。该类RSS-SPT的性能是根据其功率值和效率，通过预期的停止位置，预期的故障次数和预期的总实验时间消耗来评估的。导出了莱曼替代方案下不同测试程序的确切幂函数和效率。将RSS-SPT的性能与基于精确计算的Lehmann替代方案和基于蒙特卡罗模拟的位置移位替代方案下基于排序集样本的无顺序优先检验进行了比较。根据数值结果，提出了结论和建议。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sequential procedures for two-sample problem based on early failures from ranked set samples

Abstract In this article, a class of sequential precedence tests based on ranked set samples (RSS-SPT) with different sequential rank schemes and different α-spending is proposed. The exact null distributions of the proposed RSS-SPT test statistics are derived and the corresponding critical values are tabulated. The performance of the class of RSS-SPT is evaluated in terms of their the power values and their efficiencies by means of the expected stopping location, expected number of failures, and expected total experimental time consumed. The exact power functions and efficiencies of different test procedures under the Lehmann alternative are derived. The performance of RSS-SPT is compared with the nonsequential precedence test based on ranked set samples under the Lehmann alternative based on exact calculation and under the location-shift alternative using Monte Carlo simulations. Conclusions and recommendations are provided based on the numerical results.

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来源期刊

Sequential Analysis-Design Methods and Applications STATISTICS & PROBABILITY-

CiteScore

1.40

自引率

12.50%

发文量

期刊介绍： The purpose of Sequential Analysis is to contribute to theoretical and applied aspects of sequential methodologies in all areas of statistical science. Published papers highlight the development of new and important sequential approaches. Interdisciplinary articles that emphasize the methodology of practical value to applied researchers and statistical consultants are highly encouraged. Papers that cover contemporary areas of applications including animal abundance, bioequivalence, communication science, computer simulations, data mining, directional data, disease mapping, environmental sampling, genome, imaging, microarrays, networking, parallel processing, pest management, sonar detection, spatial statistics, tracking, and engineering are deemed especially important. Of particular value are expository review articles that critically synthesize broad-based statistical issues. Papers on case-studies are also considered. All papers are refereed.