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A censored sequential posterior odd test method in testability demonstration test planning
Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability ( IF 1.7 ) Pub Date : 2020-05-26 , DOI: 10.1177/1748006x20918791
Yong Zhang 1 , Chao Wang 2 , Xin Lin 1 , Guanjun Liu 1 , Peng Yang 1 , Jing Qiu 1
Affiliation  

Testability demonstration tests can effectively verify product capabilities of fault detection and isolation; however, they suffer from insufficient samples, long cycles and high costs due to destructiveness of fault injection tests, which leads to an increasing demand for small sample tests. The sequential posterior odd test can effectively reduce sample sizes, but test results can be random and the sample size may be large. In this article, a censored sequential posterior odd test method is proposed, which can control the incremental risk caused by forced censoring within a contracted range by risk splitting. The development process of the testability demonstration test based on the censored sequential posterior odd test is designed. The number of censored tests and the calculation method of the censored threshold are presented. The case application shows that with the same prior distribution and constraint parameters, the average sample size of the proposed method is smaller than that of the sequential posterior odd test and of the classical method considering risks for both producers and consumers. The presented method can further reduce the risk of misjudgment and the number of test samples, contributing to the reduction of the test cycle and costs.



中文翻译:

可测性演示测试计划中的删失顺序后验奇数测试方法

可测试性演示测试可以有效地验证产品的故障检测和隔离能力;然而,由于故障注入测试的破坏性,它们遭受了样本不足,周期长和成本高的困扰,这导致对小样本测试的需求不断增加。顺序后验检验可以有效地减少样本量,但是检测结果可以是随机的,样本量可能很大。本文提出了一种按顺序检查的后验奇数检验方法,该方法可以通过风险分割将强制检查导致的增量风险控制在合同范围内。设计了基于删失序贯后验奇数检验的可测试性证明测试的开发过程。给出了被检查次数和被检查阈值的计算方法。案例研究表明,在相同的先验分布和约束参数的情况下,所提方法的平均样本量小于顺序后验奇数检验和考虑了生产者和消费者风险的经典方法的平均样本量。所提出的方法可以进一步减少误判的风险和测试样品的数量,有助于减少测试周期和成本。

更新日期:2020-05-26
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