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題名 Process control for the vector autoregressive model
作者 Cheng,Tsung-Chi;Hsie,Ping-Hung;Yang,Su-Fen
貢獻者 統計系
日期 2014-02
上傳時間 11-Nov-2014 11:02:45 (UTC+8)
摘要 Multivariate monitoring techniques for serially correlated observations have been widely used in various applications. This study examines several issues that have arisen in relation to the statistical quality control for the vector autoregressive (VAR) model, using a Monte Carlo approach. Different versions of the Hotelling T2statistic and control limits to monitor the VAR-type process for both Phase I and Phase II schemes can be specified for different sample sizes and configurations of the model. Our simulation study suggests that the Hotelling`s T2 statistic can be tested against the χ2 critical values during Phase I, but should be tested against scaled Fcritical values during Phase II. An unbiased covariance estimate of residuals is also recommended during Phase II when sample size is typically small. By reanalyzing some real data examples, the authors offer new conclusions. Copyright © 2012 John Wiley & Sons, Ltd.
關聯 Quality and Reliability Engineering International,30(1),57-81
資料類型 article
DOI http://dx.doi.org/10.1002/qre.1477
dc.contributor 統計系en_US
dc.creator (作者) Cheng,Tsung-Chi;Hsie,Ping-Hung;Yang,Su-Fenen_US
dc.date (日期) 2014-02en_US
dc.date.accessioned 11-Nov-2014 11:02:45 (UTC+8)-
dc.date.available 11-Nov-2014 11:02:45 (UTC+8)-
dc.date.issued (上傳時間) 11-Nov-2014 11:02:45 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/71322-
dc.description.abstract (摘要) Multivariate monitoring techniques for serially correlated observations have been widely used in various applications. This study examines several issues that have arisen in relation to the statistical quality control for the vector autoregressive (VAR) model, using a Monte Carlo approach. Different versions of the Hotelling T2statistic and control limits to monitor the VAR-type process for both Phase I and Phase II schemes can be specified for different sample sizes and configurations of the model. Our simulation study suggests that the Hotelling`s T2 statistic can be tested against the χ2 critical values during Phase I, but should be tested against scaled Fcritical values during Phase II. An unbiased covariance estimate of residuals is also recommended during Phase II when sample size is typically small. By reanalyzing some real data examples, the authors offer new conclusions. Copyright © 2012 John Wiley & Sons, Ltd.en_US
dc.format.extent 543463 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Quality and Reliability Engineering International,30(1),57-81en_US
dc.title (題名) Process control for the vector autoregressive modelen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1002/qre.1477-
dc.doi.uri (DOI) http://dx.doi.org/10.1002/qre.1477-