| 基于样本广义方差的改进|S|~(1/2)控制图 |
| |
| 作者单位： | 西北工业大学理学院数学系 陕西西安710072 |
| |
| 摘 要： | 以常用的广义方差为基础,利用矩估计的方法,从一组样本推广到多组独立样本,得出具有无偏控制限的改进|S|~(1/2)控制图,并对比说明了矩估计方法的简洁性和准确性.与标准|S|~(1/2)控制图相比,其具有更小的平均运行链长(ARL).结合实例,采用数值模拟的方法说明该控制图对过程中方差的漂移有较强的检测能力.
|
| 关 键 词： | |S|~(1/2)控制图 样本广义方差 无偏估计 过程方差 |
An Improved |S|~(1/2) Control Chart Based on Sample Generalized Variance |
| |
| Authors: | LI Ying SHI Yi-min ZHAO Xuan-min WANG Cai-ling |
| |
| Abstract: | Based on the sample generalized variance,this paper uses moment estimate to construct an improved |S|~(1/2) control chart which have unbiased control limits in the case of independent multi-samples.It is shown that the method of moment estimate is concise and accurate.The improved |S|~(1/2) control chart has smaller ARL than the standard |S|~(1/2) control chart.An example accompanied by simulation is used to illustrate that this chart is more sensitive to shifts in the process variability. |
| |
| Keywords: | |S|~(1/2) control chart sample generalized variance unbiased estimate process variability |
| 本文献已被 CNKI 等数据库收录！ |
