A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information

doi:10.1080/00949655.2021.1969571

淡江大學機構典藏 > 商管學院 > 統計學系暨研究所 > 期刊論文 > Item 987654321/121328

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題名:	A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information
作者:	Chiang, J-Y;Tsai, Tzong-Ru;Pham, H;Yu, K
關鍵詞:	Auxiliary information;Hotelling (T2) control chart;non-normal distribution;skew-normal distribution;maximum likelihood estimator
日期:	2021-08-31
上傳時間:	2021-09-24 12:13:52 (UTC+8)
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.
關聯:	Journal of Statistical Computation and Simulation 92(3), p.645-666
DOI:	10.1080/00949655.2021.1969571
顯示於類別:	[統計學系暨研究所] 期刊論文

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