统计与决策2025，Vol.41Issue(22)：31-36,6.DOI:10.13546/j.cnki.tjyjc.2025.22.005
参数未知情形下的单边截断EWMA (X)控制图设计与分析
Design and Analysis of the One-sided Truncated EWMA (X) Control Chart in the Case of Unknown Parameters
摘要
Abstract
Traditional control chart studies often assume that parameters are known,but in practical industrial applications,they are usually unavailable in advance.Against this background,this paper proposes a truncation-based one-sided EWMA(X)control chart used for detecting mean shifts under unknown parameters.In order to analyze the characteristics of its running chain length,the state transition matrix Q̂with parameter estimation is derived by using the Markov chain method,and the monitoring performance is evaluated by using the unconditional average run length((AARL)).The experimental results show that compared with the situation where parameters are known,although the parameter estimation error will affect the controlled and out-of-con-trol(AARL)performance of the one-sided TEWMA(X)control chart,the reasonable use of the corrected control limit can effec-tively mitigate this negative impact.Meanwhile,compared with the one-sided EWMA(X)control chart using the reflection bound-ary method,it is found that when the process parameters are unknown,the one-sided TEWMA(X)control chart has a better moni-toring effect on medium and large offsets.关键词
参数未知/单边截断EWMA (X)控制图/平均运行链长/马尔科夫链Key words
unknown parameter/one-sided truncated EWMA Xˉ control chart/average run length/Markov chain分类
数理科学引用本文复制引用
谢富鹏,孙金生,胡雪龙,唐安安..参数未知情形下的单边截断EWMA (X)控制图设计与分析[J].统计与决策,2025,41(22):31-36,6.基金项目
国家自然科学基金资助项目(72301130 （）
72101123) （）
教育部人文社会科学研究项目(19YJA630061) （19YJA630061）
江苏省自然科学基金资助项目(BK20200750) （BK20200750）
南京工程学院引进人才科研启动基金资助项目(YKJ202308) （YKJ202308）
