带有未知参数的Shewhart ■控制图的运行长度的分布  

The Distribution of the Run Length of Shewhart X~— Control Charts with Estimated Control Limits

作　　者：吴纯杰[1] 

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《南开大学学报（自然科学版）》2007年第2期37-45,共9页Acta Scientiarum Naturalium Universitatis Nankaiensis

基　　金：Supported by the Natural Science Foundation of Tianjin(033603111);the Fund of Shanghai University of Finance and Economics(211-6-46)

摘　　要：讨论了七种标准差估什方法对 Shewhart(?)控制图的影响,通过对运行长度的分布角度对这七种参数估计做了比较研究,模拟结果显示三种中位数估计方法较其余四种有较好的稳健性。Seven approaches to estimate the standard deviation are studied with unknown parameters in Shewhart X control charts. And the run length distributions are calculated through simulation. The differences among them are shown by comparing the box plots. The conclusion is drawn that the three median estimators are more robust than others.

关 键 词：SHEWHART X^-控制图 运行长度分布 中位数估计 稳健性 

分 类 号：O213.1[理学—概率论与数理统计]