陈慧娟, 胡思贵, 李秋德, 方茂达, 龙荣进, 叶茂越. 无替换试验下的截尾序贯最优检验研究[J]. 应用概率统计. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022016
引用本文: 陈慧娟, 胡思贵, 李秋德, 方茂达, 龙荣进, 叶茂越. 无替换试验下的截尾序贯最优检验研究[J]. 应用概率统计. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022016
CHEN Huijuan, HU Sigui, LI Qiude, FANG Maoda, LONG Rongjin, YE Maoyue. Reserch on optimal truncated sequential test without substitution[J]. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022016
Citation: CHEN Huijuan, HU Sigui, LI Qiude, FANG Maoda, LONG Rongjin, YE Maoyue. Reserch on optimal truncated sequential test without substitution[J]. Chinese Journal of Applied Probability and Statistics. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022016

无替换试验下的截尾序贯最优检验研究

Reserch on optimal truncated sequential test without substitution

  • 摘要: 为降低具有“高可靠、长寿命”试验特点产品的抽样检验成本, 本文对无替换试验下的指数分布计量型截尾序贯最优检验进行了研究. 建立了无替换试验下截尾序贯最优检验的相关理论, 给出了检验方案的操作特征曲线与平均自然日历试验时间等关键统计特征量的计算表达式, 并构建了样本空间排序法对截尾序贯最优检验方案进行了求解. 通过与当前国际标准 IEC61124 中有替换试验下的截尾序贯检验方案相比, 所获得的新检验方案在检验水平得到严格控制的条件下, 能降低综合平均自然日历时间的比例达到近 80%. 与有替换试验下的截尾序贯最优检验方案相比, 新检验方案亦能降低综合平均自然日历时间的比例在 70% 左右. 本文所建立的检验方案大幅度降低了产品抽样检验的综合平均自然日历时间, 因而能极大地节省“高可靠、长寿命”试验特点产品抽样检验的试验成本.

     

    Abstract: In order to reduce the testing costs for products with high reliability and long-life testing characteristics, the optimal truncated sequential tests of exponential distribution without substitution are studied in this paper. The theory of optimal truncated sequential test without substitution is established. The calculation formulas for essential statistical features, such as the operating characteristic curve and expected natural calendar testing time of the test plans, are derived. A sample space sorting method is established to address the optimal truncated sequential tests. Through comparison with the test plans provided by the international standard IEC61124, the results show that, with strict control over type I and type II error probabilities, the new test plans proposed here can save nearly 80% of synthesis expected natural calendar testing time. Moreover, in comparison with the optimal truncated sequential tests with substitution, the results show that, the new test plans can reduce nearly 70% of the synthesis expected natural calendar testing time. The new test plans proposed in this paper significantly decrease the synthesis expected natural calendar testing time, thereby substantially reducing the testing costs for products with high reliability and long-life testing characteristics.

     

/

返回文章
返回