基于改进平方根变换的VSI EWMA MSE控制图  

A VSI EWMA MSE control chart based on improved square root transformation

作　　者：陈培乐 王美涵 杨志清 CHEN Peile;WANG Meihan;YANG Zhiqing(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou,Fujian 363000,China)

机构地区：[1]闽南师范大学数学与统计学院,福建漳州363000

出　　处：《闽南师范大学学报（自然科学版）》2021年第4期18-22,共5页Journal of Minnan Normal University：Natural Science

基　　金：国家社会科学基金西部项目(19XTJ001)。

摘　　要：为提高属性数据均方误差控制图的监控性能,基于改进平方根变换的属性数据,提出了一种可变抽样区间指数加权移动平均均方误差控制图.该图可以侦查过程均值和目标值的差异以及过程均值和标准差的偏移.利用马尔可夫链法计算平均报警时间,并设计了该控制图和固定抽样间隔的EWMA MSE控制图的最优模型.研究发现,VSI方案拥有更高的统计性能.In order to improve themonitoring performance ofmean square error control chart for attribute data,a variable sampling interval exponentially weighted moving average mean square error(VSI EWMA MSE)control chart is proposed based on the improved square root transformation attribute data.This chart can detect the difference between process mean and target value,and the shift of process mean and standard deviation.Using Markov chain method to calculate the average time to signal,and the optimal model of the control chart and the EWMA MSE control chart with fixed sampling interval is designed.It is found that the VSI scheme has higher statistical performance.

关 键 词：可变抽样区间 指数加权移动平均 改进平方根变换 平均报警时间 

分 类 号：O213[理学—概率论与数理统计]