Economical design of multiple deferred (dependent) state repetitive group sampling plan based on truncated life test under exponentiated half-logistic distribution

IF 0.6 4区数学 Q4 STATISTICS & PROBABILITY

Sequential Analysis-Design Methods and Applications Pub Date : 2022-01-02 DOI:10.1080/07474946.2022.2043046

G. Kannan, P. Jeyadurga, S. Balamurali

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引用次数: 1

Abstract

Abstract The design of a multiple deferred (dependent) state repetitive group sampling plan for exponentiated half-logistic distributed percentile life assurance under time-truncated life test is considered in this article. In this research, tables are provided to choose the design parameters of the proposed plan determined for different percentile ratios using the method of two points on the operating characteristic curve with known shape parameter values. We describe the sampling procedure of the proposed multiple deferred (dependent) state repetitive group sampling plan with real-time data and discuss the effect of misspecification of the shape parameter on lot acceptance probabilities. Based on an economical design of the proposed plan, an optimal plan is determined that satisfies both producer and consumer risks with minimum cost. In addition, the performance of the proposed plan is analyzed and compared with other existing sampling plans under an exponentiated half-logistic lifetime distribution. Finally, conclusions are provided.

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指数半逻辑分布下基于截尾寿命检验的多延迟（依赖）状态重复群抽样方案的经济性设计

摘要研究了在时间截短寿命试验条件下，指数型半逻辑分布百分位寿命保障的多延迟(依赖)状态重复组抽样方案的设计。在本研究中，采用已知形状参数值的工作特性曲线两点法，对不同百分位数比例确定的方案设计参数进行了表格选择。描述了基于实时数据的多延迟(依赖)状态重复组抽样方案的抽样过程，并讨论了形状参数不规范对批次接受概率的影响。在对所提方案进行经济设计的基础上，确定了以最小成本同时满足生产者和消费者风险的最优方案。此外，在指数半logistic寿命分布下，分析了该方案的性能，并与其他现有的抽样方案进行了比较。最后，给出结论。

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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.