| 基于加权似然比检验的监控线性曲线的控制图 |
| |
| 引用本文： | 么彩莲,张久军.基于加权似然比检验的监控线性曲线的控制图[J].统计与决策,2020(6):35-38. |
| |
| 作者姓名： | 么彩莲 张久军 |
| |
| 作者单位： | 辽宁大学数学院;辽宁石油化工大学理学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(11671178);辽宁省自然科学科技基金资助项目(2019ZD-0193);辽宁省“百千万人才工程”资助项目。 |
| |
| 摘 要： | 文章提出了一种基于加权似然比检验的阶段二监控线性曲线的控制图,称为WLRT图,并通过平均运行长度来衡量控制图的性能表现。模拟结果表明,WLRT图对于线性曲线的截距、斜率、标准差的变化及截距和斜率同时变化都具有很好的检测能力。通过与其他几种控制图的性能比较,得出WLRT图能较快地发现过程变化,而且设计简单、操作方便。
|
| 关 键 词： | 加权似然比检验 平均运行长度 简单线性曲线 统计过程控制 |
Control Chart of Monitoring Linear Profiles Based on Weighted Likelihood Ratio Test |
| |
| Authors: | Yao Cailian Zhang Jiujun |
| |
| Institution: | (Department of Mathematics,Liaoning University,Shenyang 110036,China;School of Science,Liaoning Shihua University,Fushun Liaoning 113001,China) |
| |
| Abstract: | This paper proposes a new PhaseⅡcontrol chart based on weighted likelihood ratio test(referred to as WLRT chart)for monitoring linear profiles,and uses average run length(ARL)criterion to evaluate the performance of the new chart.Simulation results show that the WLRT has good performance in detecting a wide range of possible shifts in intercept,slope and the standard deviation of linear curve,as well as the simultaneous variation of intercept and slope.Through the performance comparison with other control charts,conclusion is drawn that the WLRT chart can detect the process variation quickly,and the design is simple and the operation is convenient. |
| |
| Keywords: | weighted likelihood ratio test(WLRT) average run length(ARL) simple linear profiles statistical process control(SPC) |
| 本文献已被 维普 等数据库收录！ |
|
