关于序贯检验相关研究的文献综述
A Literature Review on the Relative Studies of Sequential Test
DOI: 10.12677/ORF.2022.124132, PDF,  被引量    国家自然科学基金支持
作者: 陈慧娟, 方茂达：贵州大学数学与统计学院，贵州 贵阳；胡思贵*：贵州医科大学生物与工程学院，贵州 贵阳
关键词: 序贯分析；截尾序贯检验；文献综述；Sequential Analyze； Truncated Sequential Test； Literature Review
摘要: 序贯检验是一种采用“试试看，看看试”试验策略的多阶段抽样检验方案，其相较于传统的固定样本量的抽验方案，能大幅度地减小平均试验样本量与平均试验时间，从而有效地降低产品抽样检验的试验成本。序贯检验在产品的质量与可靠性检验，药物及疫苗有效性与安全性等的检验中发挥重要的作用。目前，序贯检验的研究仍然是序贯分析研究热点之一。本文对序贯检验进行文献综述，全面回顾了该领域的相关研究成果，从计量型与计数型两个方面系统地梳理了序贯检验的基本思想和抽验原则，并对截尾序贯最优检验这一重要的检验方案的进行了详细论述，总结了截尾序贯最优检验的优越性，并就截尾序贯最优检验未来的一些研究方向进行了讨论，为后续研究提供参考。
Abstract: A sequential test is a multi-stage sampling test which uses the testing strategy of “try it, see it”. Since it can significantly reduce the expected test sample size and expected test time compared to the traditional sampling test with fixed sample size, it can save the test costs significantly. Sequence test plays an important role in testing the quality and reliability of products, and the efficacy and safety of new drugs and new vaccines. At present, sequential test is still one of the hot spots in the area of sequential analysis. This paper presents a literature review of the sequential test. Comprehensive relevant research results in this field have also been reviewed. The basic ideas and sampling principles of the sequential test have been discussed based on measurement and counting types. Furthermore, the optimal truncated sequential test is discussed in more details. The superiority of the optimal truncated sequential test is summarized, some future research directions on the optimal truncated sequential test proposed can provide references for the subsequent research.
文章引用：陈慧娟, 胡思贵, 方茂达. 关于序贯检验相关研究的文献综述[J]. 运筹与模糊学, 2022, 12(4): 1251-1264. https://doi.org/10.12677/ORF.2022.124132

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