A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information
學年 110
學期 1
出版（發表）日期 2021-08-31
作品名稱 A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information
作品名稱（其他語言）
著者 J-Y Chiang; Tzong-Ru Tsai; H Pham; K Yu
單位
出版者
著錄名稱、卷期、頁數 Journal of Statistical Computation and Simulation 92(3), p.645-666
摘要 Control chart is a statistical process control tool to routinely monitor the quality of a process. In the past decade, using auxiliary information to enhance the ability of control chart to detect parameter shifts has attracted wide attention in literature. Most of the existing works in this topic use a linear model and assume performance and auxiliary variables follow a bivariate normal distribution to establish the auxiliary-information-based (AIB) charts. However, the normality assumption could be violated on some occasions. In this study, the skew-normal distribution is used to characterize the auxiliary variable to expand the joint distribution of the performance and auxiliary variables to a generalized joint family. Then, a new multivariate AIB chart is established to monitor the quality of process. The performance of the proposed AIB control chart method is verified using Monte Carlo simulations. An example with regard to the cement filling process is used for illustration.
關鍵字 Auxiliary information;Hotelling (T2) control chart;non-normal distribution;skew-normal distribution;maximum likelihood estimator
語言 en
ISSN 1563-5163
期刊性質 國外
收錄於 SCI Scopus
產學合作
通訊作者 Tzong-Ru Tsai
審稿制度 是
國別 GBR
公開徵稿
出版型式 ,電子版,紙本
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