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題名 Process control for the vector autoregressive model
作者 楊素芬
Cheng, T.-C.; Hsieh, P.-H. ; Yang, S.-F.
貢獻者 統計系
日期 2012.12
上傳時間 11-Nov-2013 17:38:54 (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 T2 statistic 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 F critical 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.
關聯 Quality and Reliability Engineering International, 2012
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) 楊素芬zh_TW
dc.creator (作者) Cheng, T.-C.; Hsieh, P.-H. ; Yang, S.-F.-
dc.date (日期) 2012.12en_US
dc.date.accessioned 11-Nov-2013 17:38:54 (UTC+8)-
dc.date.available 11-Nov-2013 17:38:54 (UTC+8)-
dc.date.issued (上傳時間) 11-Nov-2013 17:38:54 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/61595-
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 T2 statistic 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 F critical 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.-
dc.format.extent 539611 bytes-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.relation (關聯) Quality and Reliability Engineering International, 2012en_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.1477en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1002/qre.1477en_US