带有误分类修正的DEWMA p控制图
DEWMA p Control Chart with Misclassification Correction
摘要: 在质量过程控制中，不合格品率小漂移的检测会受到样本的误分类以及小样本量的影响而产生严重的质量误判。本文首先针对样本的分类误差建立误分类修正数据模型实现样本观测值误分类修正，再结合DEWMA p控制图对参数小漂移的敏感性和对样本量的宽容特性，开发了带有误分类修正的DEWMA p控制图(MisC-DEWMA p)。实验结果表明，在对不合格品率的检测，特别是基于小样本的相应检测中，MisC-DEWMA p控制图对不合格品率小而持久的漂移具有更高的敏感性和精确性。
Abstract: In the quality process control, the monitoring of potential small shift at nonconforming proportion will suffer from misclassification and the small-size of sampled observations and thus present kind of a misjudge. In this paper, a data-modified model is firstly established to correct the sample data carrying misclassification, and then DEWMA p Control Chart with Misclassification Correction (MisC-DEWMA p) is proposed, equipped with the strong small-shift-sensitivity and small-sample-kindness of DEWMA p control chart. The numerical and real data experiment results show that, for a process with small persistent shift of nonconforming proportion, MisC-DEWMA p control chart provides a higher sensitivity and accuracy.
文章引用：卿晶, 王凯明, 胡小红, 王佳颖, 宋学力. 带有误分类修正的DEWMA p控制图[J]. 应用数学进展, 2024, 13(8): 3756-3768. https://doi.org/10.12677/aam.2024.138358

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