Monitoring process variability with individual measurements following elliptically contoured distributions

被引:0
|
作者
Khawsithiwong, Pairoj
Yatawara, Nihal [1 ]
机构
[1] Curtin Univ Technol, Dept Math & Stat, Bentley, WA 6102, Australia
[2] Silpakorn Univ, Dept Stat, Nakorn Phatom, Thailand
关键词
control chart; double exponentially weighted moving average; elliptically contoured distribution; individual observation; process variability;
D O I
10.1080/03610910701208833
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
An exponentially weighted moving average (EWMA) control chart of squared distance is developed by means of a double EWMA approach to monitor process dispersion with individual measurements distributed within the class of elliptically symmetric distributions. Several examples highlighting possible extensions of the control chart to multivariate processes are provided. In particular, for multivariate normal processes, an investigation on the detection power of the chart is carried out through Monte Carlo studies. The results show that the proposed control chart performs well, especially when a process has a small or moderate shift.
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页码:699 / 718
页数:20
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