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題名:	Loss-based control charts for monitoring non-normal process data
作者:	楊素芬 Yang, S.F. Shen, Lijuan
貢獻者:	統計系
關鍵詞:	Control chart;loss function;process control;run length;skew-normal distribution
日期:	2020-03
上傳時間:	2021-01-22 09:17:27 (UTC+8)
摘要:	Quality and loss of products are crucial factors in competitive companies, and firms widely adopt a loss function to measure the loss caused by a deviation in the quality variable from the target value. From Taguchi`s view point, it is important to monitor any deviation from the process target value. While most existing studies assume the quality variable follows a normal distribution, the distribution can in fact be skewed or deviate from normal in practice. This paper thus proposes loss-based control charts for monitoring the quality loss location or equivalently the deviation of the quality variable from the target value under a skew-normal distribution. We consider the exponentially weighted moving average (EWMA) average loss control chart, which illustrates the best performance in detecting an out-of-control loss location for a process with a left-skewed distribution. Numerical analysis demonstrates that the proposed EWMA average loss chart always performs better than the existing median loss chart for both left-skewed and right-skewed distributions. A numerical example illustrates the application of the proposed EWMA average loss control chart.
關聯:	IEEE ACCESS, 8, 91163 - 91169
資料類型:	article
DOI 連結:	https://doi.org/10.1109/ACCESS.2020.2989400
DOI:	10.1109/ACCESS.2020.2989400
顯示於類別:	[統計學系] 期刊論文

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