EWMA图表
控制图
数学
图表
统计
似然比检验
X-条形图
算法
计算机科学
过程(计算)
操作系统
作者
Ruizhe Jiang,Zhuoxi Yu,Xuelong Hu,Jiujun Zhang
标识
DOI:10.1080/00949655.2024.2443595
摘要
The Maxwell distribution has recently been widely used for life modelling. This paper proposes a new control chart, called the EWMA-LR control chart, for monitoring the Maxwell distribution's quality characteristics with type-II right censored data. We provide the approximate maximum likelihood estimate of the scale parameter for the Maxwell distribution with type-II right censored data. We constructed an EWMA-LR control chart to monitor the shift in the scale parameter of the Maxwell distribution based on the likelihood ratio test. The EWMA-LR control chart is efficient whether it is based on complete or censored data. We evaluate the performance of EWMA-LR control chart using various metrics, including the mean of run length (ARL), the standard deviation of run length (SDRL), and the median of run length (MDRL). Finally, two examples from actual industrial production illustrate the effectiveness of the EWMA-LR control chart in practice.
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