Moving average control chart;
robust dispersion estimator;
standard deviation;
non-normal distribution;
simulation study;
average run length;
D O I:
暂无
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:
In this paper, a comparative analysis of alternative methods for the moving average (MA) control chart for dispersion is developed using robust estimators. To compare the ability and performance of the existing moving average (MA) control charts for dispersion based on the sample standard deviation (S) and the proposed alternative methods based on robust estimators to detect shifts in a process, a Monte Carlo simulation study is used. It is observed from the results of the simulation study that the proposed robust alternative methods are effective in determining small shifts in the process and gives better performance as compared to the existing moving average (MA) control charts for dispersion, i.e. it provides swift indication about shifts in a process. An application numerical example with a real data set is used to illustrate the application and implementation of the control charts considered in this study which also supported the findings of the simulation study to some extent.
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Women Univ Azad Jammu & Kashmir, Dept Math, Bagh, Azad Jammu & Ka, PakistanXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Rasheed, Zahid
Zhang, Hongying
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机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Zhang, Hongying
Khan, Majid
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机构:
Govt Akhtar Nawaz Khan Shaheed Degree Coll KTS, Haripur, PakistanXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China
Khan, Majid
Anwar, Syed Masroor
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机构:
Univ Azad Jammu & Kashmir, Dept Stat, Muzaffarabad, PakistanXi An Jiao Tong Univ, Sch Math & Stat, Xian, Peoples R China