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題名 Approximate confidence sets for a stationary AR(p) process
作者 Weng, Ruby Chiu-Hsing;Woodroofe, M.
翁久幸
貢獻者 統計系
日期 2006-08
上傳時間 21-Jul-2015 15:36:14 (UTC+8)
摘要 Approximate confidence intervals are derived for the autoregressive parameters of a stationary, Gaussian auto-regressive process of arbitrary order and shown to be asymptotically correct to order o ( 1 / n ), where n is the sample size. Simulation studies are included for small and moderate sample sizes for the case of two auto-regressive parameters, and these indicate excellent approximation for sample sizes as small as n = 10, 20. The convergence is in the very weak sense, and the derivation differs from most existing work through its direct focus on Studentized estimation error and its use of Stein`s identity. © 2005 Elsevier B.V. All rights reserved.
關聯 Journal of Statistical Planning and Inference, 136(8), 2719-2745
資料類型 article
DOI http://dx.doi.org/10.1016/j.jspi.2004.11.007
dc.contributor 統計系
dc.creator (作者) Weng, Ruby Chiu-Hsing;Woodroofe, M.
dc.creator (作者) 翁久幸zh_TW
dc.date (日期) 2006-08
dc.date.accessioned 21-Jul-2015 15:36:14 (UTC+8)-
dc.date.available 21-Jul-2015 15:36:14 (UTC+8)-
dc.date.issued (上傳時間) 21-Jul-2015 15:36:14 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/76778-
dc.description.abstract (摘要) Approximate confidence intervals are derived for the autoregressive parameters of a stationary, Gaussian auto-regressive process of arbitrary order and shown to be asymptotically correct to order o ( 1 / n ), where n is the sample size. Simulation studies are included for small and moderate sample sizes for the case of two auto-regressive parameters, and these indicate excellent approximation for sample sizes as small as n = 10, 20. The convergence is in the very weak sense, and the derivation differs from most existing work through its direct focus on Studentized estimation error and its use of Stein`s identity. © 2005 Elsevier B.V. All rights reserved.
dc.format.extent 277434 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) Journal of Statistical Planning and Inference, 136(8), 2719-2745
dc.title (題名) Approximate confidence sets for a stationary AR(p) process
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.jspi.2004.11.007
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.jspi.2004.11.007