摘要
目前,带有测量误差的一元控制图显著降低了测量误差对于控制图性能的影响,并在监控实际生产过程时发挥着重要作用.然而由于多元控制图的复杂性,尤其是在协方差矩阵发生漂移情况下,对带有测量误差的多元控制图的研究还有所不足.因此文章结合多元测量误差模型,构建了对监控过程协方差矩阵漂移具有显著优越性的ME-KQE、KME-KQE控制图,并分析了测量误差对于检测效率的影响.最后,文章通过实例展示了其在实际应用中对存在测量误差的数据有较好的监测效果.
At present,the univariate control chart with measurement error has significantly reduced the impact of measurement error on the performance of the control chart,and plays an important role in the actual production process monitoring.However,due to the complexity of multivariate control charts,especially when the covariance matrix shifts,there is still insufficient research on multivariate control charts with measurement errors.Therefore,this paper combines the multivariate measurement error model to construct ME-KQE and KME-KQE control charts that have significant advantages over the covariance matrix drift in the monitoring process,and analyzes the effect of measurement error on detection efficiency.Finally,this article shows that it has a good monitoring effect on the data with measurement errors in practical applications.
作者
赵伟
王钟梅
吴纯杰
ZHAO Wei;WANG Zhongmei;WU Chunjie(School of Statistics and Management,Shanghai University of Finance and Economics,Shanghai 200433)
出处
《系统科学与数学》
CSCD
北大核心
2021年第7期2018-2034,共17页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金(11871324)
全国统计科学研究项目重大项目(2020LD03)资助课题
关键词
测量误差
统计控制过程
协方差矩阵
KQE控制图
Measurement errors
statistical process control
covariance matrix
KQE control chart