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題名 連續性ARIMA轉移函數與季節性ARIMA轉移函數之運用及其整合
Application and Integration of Consecutive ARIMA Transfer and Seasonal ARIMA Trnasfer Function作者 謝淑如
Hsieh, shu ju貢獻者 周文賢
Chou, wen hsien
謝淑如
Hsieh, shu ju關鍵詞 轉移函數
時間序列
連續性
季節性
整合
Transfer function
Time series
Consecutive
Seasonal
Integrate日期 1993 上傳時間 29-四月-2016 16:44:05 (UTC+8) 摘要 為因應預測目的不同,有時需要各種預測水平{\\rm (forecast horizon)} ,例如,月預測可供進料、生產、補貨及倉儲之參考,年預測則可作為產 能規畫、產品線規畫、投資決策等之準則。然而,預測結構卻會因水平的 不同而彼此相異,以致產生諸多預測值的矛盾。有鑑於此,本研究主要以 一簡單且具理論基礎的整合{\\rm intergration)} 過程,解決預測值互相 矛盾的問題。由於年資料通常屬於連續性模式,月資料則多為季節性模式 ,兩者透過的轉移函數形態截然不同,而且在解釋變數的選取上更是迥異 ,因此,需要經由加權平均的整合,才能使月預測值的加總等於年預測值 。至於權數的決定則以離散程度為準則,由於年資料為月資料的加總,兩 者均值相差甚多,故以變異係數為測量離散情形的標準。本研究主要乃遵 循{\\rm Box-Jenkins} 的模式建立法則,構建連續性轉移函數模式及季節 性、轉移函數模式,並加以整合調整。在實證分析中以台灣啤酒銷售量為 例說明預測流程,年銷量預測方面以國民所得為解釋變數; 月銷量預測方 面則以氣溫為解釋變數,最後以加權平均將兩者整合調整。 參考文獻 (1). 魏庭、澤(1982), 數理統計學 (2). 徐瑞玲(1988),『時間數列模型建立各種分析方法的比較與實證研 究』,政治大學統計研究所 (3). 顏月珠(1990), 商用統計學y 台北:三民。 (4). 周文賢及游文清(1990), 計量經濟與時間序列分析/SASETS之運 用, 台北, 教育部電算中心。 (5). 陳儀庭(1992), 『進出口貿易預測系統之建立運用-以個案為例』, 政治大學統計研究所 (1 )Abrahan1,B. , `Seasonal time series and transfer fun ction modeling`, J o`l/,rnal of Business & Economic Statistics~3(1985) , No.4)56-361. 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G., `Interpreting patial autocorrelation func- Tion of seasonal time series models’,Biometrika,65(1978), 135-140. (28)Hannan,E.J.and Kavalieris,L.,’A method for autoregressive-moving average estimation’, Biometrika, 72(1984),2, 273-280. (29)Hannan,E.J. and Rissanen,J.’Recursive estimation of mixed autoregressive moving average order’, Biometrika, 69(1982),1,81-94. (30)Hillmer, S.C.and Tiao,G.C. Likelihood function of stationary multiple autoregressive moving average models’ , Journal of American Statistical 660 (31)Hosking,J.R.M.,’Lagrange multiplier test of time series models’ , Journal of Royal Statistical Society B, 42(1980), 170-181. (32)Jenkins,G.M. and Alavi,A.S.,’Some aspects of modeling and ‘, Journal of Time Series Analysis, 2(1981), 1-47. (33)Kashyap,R.L.’Inconsistency od the AIC rule for estimating the order if autoregressibe models’ ,LEEE Transactions on Automatic Control ,AC-025,(1980), 996-998. (34)Klein,A.K.and Mélard, G.,’Fisher’s Information. 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(41)Ljung,G.N.and Box,G.E.P.,`On a measure of lack of fit III tinle senes models` ,Biometrika,65 (1978),297-303. (42)Ljung,G.IVLand Box,G.E.P., (The likelihood function of stationary autoregressive nloving average 1110clels`,Biometrika,66 (1979),265-270. (43)Lusk,E.J. and Neves,J.S.: A Comparative ARIT\\1A of the 111 Series of the Makriakis Con1petition` 1 J ov.rnal of Forccast1:ng ,3 (1984) ,329-332. (44 )Makridakis,S. ,Andersen,A., Carbone,R. :Hibon,rv1. ,Filcles,R., Levlandowski,R., ton)., Parzen,E.and Winkler,R. , , The accuracy of extrapolation(tilne series) mothods: results of a forecasting cOlnpetition`, J ov.rnal of Forecasting ,1(1982),111-153. (45 )Makridakis,S.ancl Hi bon,M.,` Accuracy of forecasting:an elnpirical investigation`, Journal of Royal Sta.stical Society A, 142(1979),97-145 . (46)MIckenzin,` A note on using the interated form of ARlI\\1A forecasts`, International Jov:rno.l of Forecasting,4(1988), 117-124. (47)Mcleod ,A.I.,` On the distribution and applications of resid ual autocorrelations in Box-J enkins 1110dels` , Journal of Roya.l Statistical Society B,40( 1978)302. (48)Ivliller,M.,Erden,J.V. and \\Vilus,R.,` An analysis of the accuracy of ARllvlA nlodels in forecasting unemployment insurance workloads`, ASA Statistical Association,( 1984) ,547-552. (49)Newbold,P.,`The equivalence of t,vo tests of tillle series nlodel adequacy `,Biometrika,67 (1980),463-465. (50)Neftce,S.N.`Specification of economic time series lllodeis using Akaike`s cri terion` , Journal American Sta.tistical Association, 77(1982),N 0.375,540. (51)Neter,J.,\\Vasserman,\\V. and Kutner)v.I.H.Applied liner statistical m.odels,華泰,台北,2nd,(1985). (52)Newbold,P.,`The exact likelihood function for a lllixed autoregressivenloving average process\\Biometrika.,61(1974),423-426. 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國立政治大學
統計學系
G80354015資料來源 http://thesis.lib.nccu.edu.tw/record/#B2002004199 資料類型 thesis dc.contributor.advisor 周文賢 zh_TW dc.contributor.advisor Chou, wen hsien en_US dc.contributor.author (作者) 謝淑如 zh_TW dc.contributor.author (作者) Hsieh, shu ju en_US dc.creator (作者) 謝淑如 zh_TW dc.creator (作者) Hsieh, shu ju en_US dc.date (日期) 1993 en_US dc.date.accessioned 29-四月-2016 16:44:05 (UTC+8) - dc.date.available 29-四月-2016 16:44:05 (UTC+8) - dc.date.issued (上傳時間) 29-四月-2016 16:44:05 (UTC+8) - dc.identifier (其他 識別碼) B2002004199 en_US dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/89024 - dc.description (描述) 碩士 zh_TW dc.description (描述) 國立政治大學 zh_TW dc.description (描述) 統計學系 zh_TW dc.description (描述) G80354015 zh_TW dc.description.abstract (摘要) 為因應預測目的不同,有時需要各種預測水平{\\rm (forecast horizon)} ,例如,月預測可供進料、生產、補貨及倉儲之參考,年預測則可作為產 能規畫、產品線規畫、投資決策等之準則。然而,預測結構卻會因水平的 不同而彼此相異,以致產生諸多預測值的矛盾。有鑑於此,本研究主要以 一簡單且具理論基礎的整合{\\rm intergration)} 過程,解決預測值互相 矛盾的問題。由於年資料通常屬於連續性模式,月資料則多為季節性模式 ,兩者透過的轉移函數形態截然不同,而且在解釋變數的選取上更是迥異 ,因此,需要經由加權平均的整合,才能使月預測值的加總等於年預測值 。至於權數的決定則以離散程度為準則,由於年資料為月資料的加總,兩 者均值相差甚多,故以變異係數為測量離散情形的標準。本研究主要乃遵 循{\\rm Box-Jenkins} 的模式建立法則,構建連續性轉移函數模式及季節 性、轉移函數模式,並加以整合調整。在實證分析中以台灣啤酒銷售量為 例說明預測流程,年銷量預測方面以國民所得為解釋變數; 月銷量預測方 面則以氣溫為解釋變數,最後以加權平均將兩者整合調整。 zh_TW dc.description.tableofcontents 第一章 緒論 1.1 研究動機‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 1 1.2 研究目的‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 1 1.3 研究方法摘要‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 2 1.4 章節架構‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 2 第二章 相關文獻探討 2.1 相關文獻方法回顧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 3 2.2 模式辨認‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 6 2.3 參數估計與診斷檢定‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 10 2.4 模式預測‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 11 第三章 理論架構 3.1 預測架構建立‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 13 3.2 ARIMA模式建立‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 13 3.3 ARIMA轉移函數模式建立‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 31 3.4 季節性ARIMA模式建立‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 38 3.5 季節性ARIMA轉移函數模式建立‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 44 3.6 預測整合‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 45 第四章 實證分析 4.1 預測架構及流程‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 52 4.2 國民所得預測‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 53 4.3 啤酒年銷售量預測‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 58 4.4 月均溫預測‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 63 4.5 啤酒月銷售量預測‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 69 4.6 預測整合‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 76 第五章 結論 5.1 研究發現‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 79 5.2 應用方向‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 79 5.3 研究限制及後續方向‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 80 參考文獻‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧‧ 81 zh_TW dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#B2002004199 en_US dc.subject (關鍵詞) 轉移函數 zh_TW dc.subject (關鍵詞) 時間序列 zh_TW dc.subject (關鍵詞) 連續性 zh_TW dc.subject (關鍵詞) 季節性 zh_TW dc.subject (關鍵詞) 整合 zh_TW dc.subject (關鍵詞) Transfer function en_US dc.subject (關鍵詞) Time series en_US dc.subject (關鍵詞) Consecutive en_US dc.subject (關鍵詞) Seasonal en_US dc.subject (關鍵詞) Integrate en_US dc.title (題名) 連續性ARIMA轉移函數與季節性ARIMA轉移函數之運用及其整合 zh_TW dc.title (題名) Application and Integration of Consecutive ARIMA Transfer and Seasonal ARIMA Trnasfer Function en_US dc.type (資料類型) thesis en_US dc.relation.reference (參考文獻) (1). 魏庭、澤(1982), 數理統計學 (2). 徐瑞玲(1988),『時間數列模型建立各種分析方法的比較與實證研 究』,政治大學統計研究所 (3). 顏月珠(1990), 商用統計學y 台北:三民。 (4). 周文賢及游文清(1990), 計量經濟與時間序列分析/SASETS之運 用, 台北, 教育部電算中心。 (5). 陳儀庭(1992), 『進出口貿易預測系統之建立運用-以個案為例』, 政治大學統計研究所 (1 )Abrahan1,B. , `Seasonal time series and transfer fun ction modeling`, J o`l/,rnal of Business & Economic Statistics~3(1985) , No.4)56-361. 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