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題名 A median loss control chart for monitoring quality loss under skewed distributions
作者 楊素芬
Yang, Su-Fen
Zhou, Ruoyu
Lu, Shan-Wen
貢獻者 統計系
關鍵詞 Loss; median; skewed distribution; control chart
日期 2017-07
上傳時間 22-三月-2018 17:16:11 (UTC+8)
摘要 The quality and loss of products are crucial factors separating competitive companies in global market. Firms widely employ a loss function to measure the loss caused by a deviation of the quality variable from the target value. Monitoring this deviation from the process target value is important from the view of Taguchi’s philosophy. In reality, there are many situations where the distribution of the quality variable may not be normal but skewed. This paper aims at developing a median loss (ML) control chart for monitoring quality loss under skewed distributions. Both the cases with fixed and variable sampling intervals are considered. Numerical results show that the ML chart with (optimal) variable sampling intervals performs better than the ML chart in detecting small to moderate shifts in the process loss centre or in the difference of mean and target and/or variance of a process variable. The ML chart and the ML chart with variable sampling intervals also illustrate the best performance in detection out-of-control process for a process quality variable with a left-skewed distribution. A numerical example illustrates the application of the proposed control chart.
關聯 Journal of Statistical Computation and Simulation, Volume 87, Issue 17, pp.3241-3260
資料類型 article
DOI https://doi.org/10.1080/00949655.2017.1362697
dc.contributor 統計系zh_Tw
dc.creator (作者) 楊素芬zh_TW
dc.creator (作者) Yang, Su-Fenen_US
dc.creator (作者) Zhou, Ruoyuen_US
dc.creator (作者) Lu, Shan-Wenen_US
dc.date (日期) 2017-07en_US
dc.date.accessioned 22-三月-2018 17:16:11 (UTC+8)-
dc.date.available 22-三月-2018 17:16:11 (UTC+8)-
dc.date.issued (上傳時間) 22-三月-2018 17:16:11 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/116493-
dc.description.abstract (摘要) The quality and loss of products are crucial factors separating competitive companies in global market. Firms widely employ a loss function to measure the loss caused by a deviation of the quality variable from the target value. Monitoring this deviation from the process target value is important from the view of Taguchi’s philosophy. In reality, there are many situations where the distribution of the quality variable may not be normal but skewed. This paper aims at developing a median loss (ML) control chart for monitoring quality loss under skewed distributions. Both the cases with fixed and variable sampling intervals are considered. Numerical results show that the ML chart with (optimal) variable sampling intervals performs better than the ML chart in detecting small to moderate shifts in the process loss centre or in the difference of mean and target and/or variance of a process variable. The ML chart and the ML chart with variable sampling intervals also illustrate the best performance in detection out-of-control process for a process quality variable with a left-skewed distribution. A numerical example illustrates the application of the proposed control chart.en_US
dc.format.extent 109 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Statistical Computation and Simulation, Volume 87, Issue 17, pp.3241-3260
dc.subject (關鍵詞) Loss; median; skewed distribution; control charten_US
dc.title (題名) A median loss control chart for monitoring quality loss under skewed distributionsen_US
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1080/00949655.2017.1362697
dc.doi.uri (DOI) https://doi.org/10.1080/00949655.2017.1362697