學術產出-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

政大圖書館

Citation Infomation

題名 Approximate confidence sets for a stationary AR process
作者 翁久幸;Michael Woodroofe
關鍵詞 Asymptotic expansions;Asymptotic confidence levels;Stationary autoregressive process;Very weak expansions
日期 2004-05
上傳時間 19-Dec-2008 14:53:27 (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.
關聯 Journal of Statistical Planning and Inference, 136, 2719-2745
資料類型 article
DOI http://dx.doi.org/10.1016/j.jspi.2004.11.007
dc.creator (作者) 翁久幸;Michael Woodroofezh_TW
dc.date (日期) 2004-05en_US
dc.date.accessioned 19-Dec-2008 14:53:27 (UTC+8)-
dc.date.available 19-Dec-2008 14:53:27 (UTC+8)-
dc.date.issued (上傳時間) 19-Dec-2008 14:53:27 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/18181-
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.-
dc.format application/en_US
dc.language enen_US
dc.language en-USen_US
dc.language.iso en_US-
dc.relation (關聯) Journal of Statistical Planning and Inference, 136, 2719-2745en_US
dc.subject (關鍵詞) Asymptotic expansions;Asymptotic confidence levels;Stationary autoregressive process;Very weak expansions-
dc.title (題名) Approximate confidence sets for a stationary AR processen_US
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1016/j.jspi.2004.11.007en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1016/j.jspi.2004.11.007en_US