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題名 Generally weighted moving average control chart in the presence of measurement error via auxiliary information utilization
作者 楊素芬
Chen, Jen-Hsiang;Chatterjee, Kashinath;Lu, Shin-Li;Yang, Su-Fen
貢獻者 統計系
日期 2025-09
上傳時間 3-Feb-2026 11:37:21 (UTC+8)
摘要 Control charts are essential tools for monitoring the stability of manufacturing processes. However, measurement error can reduce their effectiveness by weakening their ability to detect process shifts. This study introduces an improved version of the Generally Weighted Moving Average (GWMA) chart, called the Auxiliary Information Based GWMA with Measurement Error (AIB-GWMA-ME) chart. This new chart combines auxiliary information with a measurement error adjustment mechanism to improve monitoring accuracy. Three types of measurement error models are considered – namely, the covariate model, multiple measurements model, and linearly increasing variance model. For each model, the statistic of the AIB-GWMA-ME chart is developed, and the corresponding control limits are determined. Monte Carlo simulations are used to assess the chart’s performance based on Average Run Length (ARL). Results show that the AIB-GWMA-ME chart improves sensitivity to small shifts and performs better than existing GWMA and EWMA charts in the presence of measurement error.
關聯 Plos One, Vol.20, No.9, e0333278, pp.1-22
資料類型 article
DOI https://doi.org/10.1371/journal.pone.0333278
dc.contributor 統計系
dc.creator (作者) 楊素芬
dc.creator (作者) Chen, Jen-Hsiang;Chatterjee, Kashinath;Lu, Shin-Li;Yang, Su-Fen
dc.date (日期) 2025-09
dc.date.accessioned 3-Feb-2026 11:37:21 (UTC+8)-
dc.date.available 3-Feb-2026 11:37:21 (UTC+8)-
dc.date.issued (上傳時間) 3-Feb-2026 11:37:21 (UTC+8)-
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=181172-
dc.description.abstract (摘要) Control charts are essential tools for monitoring the stability of manufacturing processes. However, measurement error can reduce their effectiveness by weakening their ability to detect process shifts. This study introduces an improved version of the Generally Weighted Moving Average (GWMA) chart, called the Auxiliary Information Based GWMA with Measurement Error (AIB-GWMA-ME) chart. This new chart combines auxiliary information with a measurement error adjustment mechanism to improve monitoring accuracy. Three types of measurement error models are considered – namely, the covariate model, multiple measurements model, and linearly increasing variance model. For each model, the statistic of the AIB-GWMA-ME chart is developed, and the corresponding control limits are determined. Monte Carlo simulations are used to assess the chart’s performance based on Average Run Length (ARL). Results show that the AIB-GWMA-ME chart improves sensitivity to small shifts and performs better than existing GWMA and EWMA charts in the presence of measurement error.
dc.format.extent 108 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Plos One, Vol.20, No.9, e0333278, pp.1-22
dc.title (題名) Generally weighted moving average control chart in the presence of measurement error via auxiliary information utilization
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1371/journal.pone.0333278
dc.doi.uri (DOI) https://doi.org/10.1371/journal.pone.0333278