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Acceptance sampling plans under two-parameter Quasi Shanker distribution assuring mean life with an application to manufacturing data
Science Progress ( IF 2.6 ) Pub Date : 2021-05-05 , DOI: 10.1177/00368504211014350
Amer Ibrahim Al-Omari 1 , Ibrahim M Almanjahie 2, 3 , Javid Gani Dar 4
Affiliation  

The acceptance sampling plan (ASP) is a statistical tool used in industry for quality control to determine the quality of products by selecting a specified number for testing in order to accept or reject the lot. The main objective is to develop a new ASP based on truncated life tests assuming that the lifetime follows the two parameters Quasi Shanker distribution, since this distribution showed its superiority in providing a better model for some applications than the exponential distribution. The ASP steps are carried out to find the minimum sample sizes needed to assert the certain life mean that are calculated under a given customer’s risk. The operating characteristic values of the sampling plan and the producer risk values are obtained. The efficiency of the suggested plans is analyzed based on real data that is fitted to the Quasi Shanker distribution. For various values of the Quasi Shanker distribution parameters, numerical examples are presented for illustrative purposes. The results indicate that the suggested ASP provides smaller sample sizes than other competitors considered in this study. The suggested ASP has been found to provide a substantial sampling economy in terms of reducing the sample. Hence, it is recommended that the ASP can be used in industry and for future research works as double and group ASP.



中文翻译:

双参数准 Shanker 分布下的验收抽样计划,通过应用于制造数据确保平均寿命

验收抽样计划(ASP)是工业中用于质量控制的统计工具,通过选择指定数量进行测试来确定产品的质量,以便接受或拒绝该批次。主要目标是开发一种基于截断寿命测试的新 ASP,假设寿命遵循两个参数准 Shanker 分布,因为该分布在为某些应用提供比指数分布更好的模型方面表现出优越性。执行 ASP 步骤是为了找到断言在给定客户风险下计算的特定寿命平均值所需的最小样本量。获得抽样计划的操作特征值和生产者风险值。建议计划的效率是根据适合准 Shanker 分布的真实数据进行分析的。对于准 Shanker 分布参数的各种值,给出数值示例用于说明目的。结果表明,建议的 ASP 提供的样本量比本研究中考虑的其他竞争对手要小。已发现建议的 ASP 在减少样本方面提供了显着的抽样经济性。因此,建议 ASP 可以作为双 ASP 和组 ASP 应用于工业和未来的研究工作。

更新日期:2021-05-06
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