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Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector

Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector
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摘要 In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts. In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts.
作者 Mukund Parasharam Gadre Vikas Chintaman Kakade Mukund Parasharam Gadre;Vikas Chintaman Kakade(Department of Statistics, Savitribai Phule Pune University, Pune, India;Department of Statistics, Tuljaram Chaturchand College, Baramati, India)
出处 《Open Journal of Statistics》 2016年第6期1098-1109,共13页 统计学期刊(英文)
关键词 Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector
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