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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