应用数学与基础数学

计数型截尾序贯保证试验的研究

  • 胡思贵 ,
  • 周小静
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  • 1. 贵阳医学院 生物与工程学院, 贵阳550025;
    2. 南方汇通股份有限公司 建装部, 贵阳550017
胡思贵, 男, 副教授, 研究方向为质量与可靠性工程, 概率统计应用

收稿日期: 2014-06-25

  网络出版日期: 2015-05-28

基金资助

贵州省科学技术基金项目(黔科合J字2011]2094号)

Study on the truncated sequential assurance test for a proportion

  • HU Si-Gui ,
  • ZHOU Xiao-Jing
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Received date: 2014-06-25

  Online published: 2015-05-28

摘要

针对``高成本、破坏性''试验特点的计数型产品,为减少产品的抽样验收试验成本, 对截尾序贯型保证试验进行了研究.
在产品已通过鉴定试验的条件下,采用贝叶斯分析方法对鉴定试验数据进行综合,给出了成败型产品成功率参数,P的截尾序贯型保证试验,T A,的相关理论及方案设计方法.研究结果表明, 对高质量水平的产品,截尾序贯保证试验\,$T^A$\,与原试验方案\,$T^]OA}$\,相比具有相当的通过验收试验的概率水平,
同时能大幅度减少产品的平均试验次数等优点. 采用实例分析方式,
对截尾序贯保证试验,TA,的设计方法进行了详细说明,并通过与原试验方案,TOA,的操作特征曲线,(OC)及平均试验次数,(ASN),曲线的比较,进一步对截尾序贯型保证试验方案的优良性进行了验证.

本文引用格式

胡思贵 , 周小静 . 计数型截尾序贯保证试验的研究[J]. 华东师范大学学报(自然科学版), 2015 , 2015(3) : 47 -56 . DOI: 10.3969/j.issn.1000-5641.2015.03.007

Abstract

For the high-cost and destructive sample test of a proportion, such as the acceptance test of missiles hit ratio, the fuze reliability and so on, how to reduce the cost is the focus of management and researching. In this paper, based on the Bayesian analysis for qualification test, a truncated sequential assurance
test TA for the success/failure success rate P$ was studied,and the design steps of the assurance test TA was also presented.Through the study on the operation characteristic curve (OC) and the average sample number (ASN) curve of the assurance test T A, it shows that when the product quality is on a high level, assurance test TA has an almost equal probability level to pass the acceptance test with the original test T OA; at the same time,it has a remarkable reduction on the average sample number, thus it can greatly reduce product sample test cost. In the end, real example was presented to verify the excellent characteristics of the sequential truncated  assurance test T proposed here

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