Modified EWMA control chart for transformed gamma data

被引:19
作者
Saghir, Aamir [1 ]
Ahmad, Liaquat [2 ]
Aslam, Muhammad [3 ]
机构
[1] Mirpur Univ Sci & Technol MUST, Dept Math, Mirpur, Pakistan
[2] Univ Vet & Anim Sci, Dept Stat & Comp Sci, Lahore, Pakistan
[3] King Abdulaziz Univ, Fac Sci, Dept Stat, Jeddah 21551, Saudi Arabia
关键词
Gamma distribution; EWMA; modified EWMA; transformed data; Average run length; CUSUM CONTROL CHART; ROBUSTNESS; DESIGN; MODEL;
D O I
10.1080/03610918.2019.1619762
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
The current article, design a control chart using a modified exponentially weighted moving average statistic (using transformation) which further enhance the sensitivity of the EWMA chart under the assumption that the quality characteristic of interest follows the gamma distribution. The necessary measures are determined to design the proposed chart and to evaluate its performance for in-control and out-of-control situations. The performance comparison of the proposed chart in terms of average run length is made with two existing control charts. The results of the study are shown that the proposed chart is an efficient chart than its two existing competitive control charts for detecting out-of-control process quickly. The application of the proposed chart is given with the help of an industrial example.
引用
收藏
页码:3046 / 3059
页数:14
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