Publications-Journal Articles

Article View/Open

Publication Export

Google ScholarTM

NCCU Library

Citation Infomation

Related Publications in TAIR

題名 雙線性時間數列模式及其應用
其他題名 Bilinear Time Series Models and Its Applications
作者 吳柏林 
Wu, Berlin
貢獻者 應數系
關鍵詞 Time Series Analysis ;ARMA Models ;Bilinear Models ;Markovian Representation ;Stationarity ;Invertibility ;Forecasting
日期 1991-09
上傳時間 20-Oct-2016 11:44:48 (UTC+8)
摘要 雙線性時間數列模式及其應用線性時間數列模式,如ARMA模式已被廣泛地應用在許多學科領域。但是其中之一重要假設為此時間數列之結構可被一線性模式來描述。此線性假設有時常覺得頗牽強,因而我們考慮是否有更好的模式來做資料之擬似。近年來,屬於非線性模式族之一系的一雙線性模式便引起學者的熱烈討論。本文即針對特定型之雙線性模式,探討其平穩性,可逆性。並做參數估計法則。最後舉例說明有關預測之方法。Linear time series models such as ARMA models have been widely used in many fields. An important assumption is that the structure of the series can be described by a linear model. However, this assumption of linearity is often a dubious one. In some particular situations one may ask if there exist other models which can provide a better fit. A particular class of non-linear models which has received a great deal of attentions is bilinear models. In this paper we investigates some properties of the bilinear model: stationarity and invertibility. Estimation of the parameters are obtained by minimum least squares method. The forecasting of certain bilinear models are also considered.
關聯 國立政治大學學報, 63, 429-442
資料類型 article
dc.contributor 應數系
dc.creator (作者) 吳柏林 zh_TW
dc.creator (作者) Wu, Berlin
dc.date (日期) 1991-09
dc.date.accessioned 20-Oct-2016 11:44:48 (UTC+8)-
dc.date.available 20-Oct-2016 11:44:48 (UTC+8)-
dc.date.issued (上傳時間) 20-Oct-2016 11:44:48 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/103048-
dc.description.abstract (摘要) 雙線性時間數列模式及其應用線性時間數列模式,如ARMA模式已被廣泛地應用在許多學科領域。但是其中之一重要假設為此時間數列之結構可被一線性模式來描述。此線性假設有時常覺得頗牽強,因而我們考慮是否有更好的模式來做資料之擬似。近年來,屬於非線性模式族之一系的一雙線性模式便引起學者的熱烈討論。本文即針對特定型之雙線性模式,探討其平穩性,可逆性。並做參數估計法則。最後舉例說明有關預測之方法。Linear time series models such as ARMA models have been widely used in many fields. An important assumption is that the structure of the series can be described by a linear model. However, this assumption of linearity is often a dubious one. In some particular situations one may ask if there exist other models which can provide a better fit. A particular class of non-linear models which has received a great deal of attentions is bilinear models. In this paper we investigates some properties of the bilinear model: stationarity and invertibility. Estimation of the parameters are obtained by minimum least squares method. The forecasting of certain bilinear models are also considered.
dc.format.extent 746841 bytes-
dc.format.mimetype application/pdf-
dc.relation (關聯) 國立政治大學學報, 63, 429-442
dc.subject (關鍵詞) Time Series Analysis ;ARMA Models ;Bilinear Models ;Markovian Representation ;Stationarity ;Invertibility ;Forecasting
dc.title (題名) 雙線性時間數列模式及其應用zh_TW
dc.title.alternative (其他題名) Bilinear Time Series Models and Its Applications
dc.type (資料類型) article