Identifying the time of step change in process parameter for Maxwell distribution

被引:1
|
作者
Kapase, Rupali A. [1 ]
Ghute, Vikas B. [1 ,2 ]
机构
[1] Punyashlok Ahilyadevi Holkar Solapur Univ, Dept Stat, Solapur, India
[2] Punyashlok Ahilyadevi Holkar Solapur Univ, Dept Stat, Solapur 413255, Maharashtra, India
关键词
Change point estimation; V control chart; Maxwell distribution; Maximum likelihood estimation (MLE); average run length; CHANGE-POINT; CONTROL CHART; PERIOD;
D O I
10.1080/00949655.2023.2294949
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
Due to the quick identification of the root causes for an out-of-control process, the estimation of exact time of a process change would be helpful thing for the process improvement. In contrast to the typical normal assumption, this study realizes that a process may follow a skewed Maxwell distribution. In this paper, using maximum likelihood estimation, a considerably efficient change point model is proposed for V control chart which underlying distribution is Maxwell distribution. The required chart statistics are calculated with its distributional properties. The proposed method is used when V control chart signals a change in a process parameter. The proposed method, when used with V control chart would be helpful for process engineers both in controlling and identifying a permanent step change in a process scale parameter. An illustrative example is given to understand the use of the proposed method.
引用
收藏
页码:1631 / 1644
页数:14
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