Publications-Theses

題名 多變量模糊時間數列在財務上的應用
An Application of Multivariate Fuzzy Time Series on Financial Markets.
作者 呂冠宏
貢獻者 吳柏林
呂冠宏
關鍵詞 模糊時間數列
模糊關係矩陣
預測
日期 2007
上傳時間 19-Sep-2009 12:07:20 (UTC+8)
摘要 股票是許多人採取投資的項目。若能準確預測股價的漲跌,則可以有效地降低投資風險,賺取利潤。然而,有許多因素會影響股票走勢,例如政治因素,匯率變化,天災人禍。因此,股票走勢很難被精確預測。我們嘗試用模糊統計來解決股價預測的問題。本論文藉由模糊相關矩陣來建立多變量模糊時間數列,以便用來預測股票趨勢。實證研究則以台灣加權股價指數為對象,對每日的收盤價進行模糊時間數列分析與預測,還計算誤差與準確率。實證研究顯示,能降低投資者的風險。
參考文獻 中文部份
[1] 吳柏林;林玉鈞, (2002), "模糊時間數列分析與預測:以台灣地區加權股價指數
為例," 中國統計學報, Vol.25, No.1, pp.67-76.
[2] 吳柏林 (2005), 模糊統計導論, 方法與應用. 台北:五南書局
[3] 吳柏林 (1995), 時間序列分析導論. 台北:華泰書局
[4] 陳蒼山 (2006),模糊時間數列分析與預測—以石油價格為例(碩士論文)
英文部分
[5] Dug Hun Hong (2005), A note on fuzzy time-series model. Fuzzy Sets and Systems, 155, 309-316.
[6] Diebold F. X. and Lindner P. (1996), Fractional integration and interval prediction. Economics Letters, 50, 305-313.
[7] Li, H., Miao, Z., Han, S. and Wang, J. (2005), A new kind of fuzzy relation equations based on inner transformation. Computers and Mathematics with Applications, 50, 623-636.
[8] Huarng, K. (2001), Effective lengths of intervals to improve forecasting in fuzzy time series. Fuzzy Sets and Systems, 123, 387-394.
[9] Huarng, K. (2001), Heuristic models of fuzzy time series for forecasting. Fuzzy Sets and Systems, 123, 369-386.
[10] Huarng, K. and Yu T. H. (2006), The application of neural networks to forecast fuzzy time series. Physica A, 363, 481-491.
[11] Koutroumanidis T., Iliadis L. and Sylaios G. K. (2006), Time-series modeling of fishery landings using ARIMA models and fuzzy expected intervals software. Environmental Modeling & Software, 21, 1711-1721.
[12] Ramsés H. Mena and Sephen G. Walker (2005), Stationary autoregressive models via a Bayesian nonparametric approach. Journal of Time Series Analysis, 26, 789-805.
[13] Rob J. H, Anne B.K, J. Keith Ord and Ralph D. S (2005), Prediction intervals for exponential smoothing using two new classes of state space models. Journal of Forecasting, 24, 17-37.
[14] Song, Q. and Chissom, B.S. (1993a), Forecasting enrollments with fuzzy time
series – part I. Fuzzy Sets and Systems, 54, 1-9.
[15] Song, Q. and Chissom, B.S. (1993b), Fuzzy time series and its models. Fuzzy Sets and Systems, 54, 269-277.
[16] Song, Q. and Chissom, B.S. (1994), Forecasting enrollments with fuzzy time
series – part II. Fuzzy Sets and Systems, 62, 1-8.
[17] Song, Q., Leland, R. P. and Chissom, B. S. (1995), A new fuzzy time-series model of fuzzy number observations. Fuzzy Sets and Systems, 73, 341-348.
[18] Song, Q., Leland, R. P. and Chissom, B. S. (1997), Fuzzy stochastic fuzzy time
series and its models. Fuzzy Sets and Systems, 62, 1-8.
[19] Chen, S. (1996), Forecasting enrollments based on fuzzy time series. Fuzzy Sets and Systems, 81, 311-319.
[20] Wu, B. and Chen, M. (1999), Use of fuzzy statistical technique in change periods detection of nonlinear time series. Applied Mathematics and Computation, 99, 241-254.
[21] Zimmermann, H.J. (1991), Fuzzy Set Theory and Its Applications. Boston:Kluwer Academi.
描述 碩士
國立政治大學
應用數學研究所
93751009
96
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0093751009
資料類型 thesis
dc.contributor.advisor 吳柏林zh_TW
dc.contributor.author (Authors) 呂冠宏zh_TW
dc.creator (作者) 呂冠宏zh_TW
dc.date (日期) 2007en_US
dc.date.accessioned 19-Sep-2009 12:07:20 (UTC+8)-
dc.date.available 19-Sep-2009 12:07:20 (UTC+8)-
dc.date.issued (上傳時間) 19-Sep-2009 12:07:20 (UTC+8)-
dc.identifier (Other Identifiers) G0093751009en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/37087-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 應用數學研究所zh_TW
dc.description (描述) 93751009zh_TW
dc.description (描述) 96zh_TW
dc.description.abstract (摘要) 股票是許多人採取投資的項目。若能準確預測股價的漲跌,則可以有效地降低投資風險,賺取利潤。然而,有許多因素會影響股票走勢,例如政治因素,匯率變化,天災人禍。因此,股票走勢很難被精確預測。我們嘗試用模糊統計來解決股價預測的問題。本論文藉由模糊相關矩陣來建立多變量模糊時間數列,以便用來預測股票趨勢。實證研究則以台灣加權股價指數為對象,對每日的收盤價進行模糊時間數列分析與預測,還計算誤差與準確率。實證研究顯示,能降低投資者的風險。zh_TW
dc.description.tableofcontents 1. 前言 1
2. 模糊時間數列模式建構 4
2.1 模糊邏輯 4
2.2 模式建立 5
2.3 FAR(1)模式建構 9
2.4 FAR(P)模式建構 13
2.5 VFAR(1,2)模式建構 14
3. 實証分析 - 點估計 16
3.1 資料分析 16
3.2 計算模糊矩陣 17
3.3 FAR(1)模式預測結果 19
3.4 FAR(2)模式預測結果 25
3.5 VFAR(1,2)模式預測結果 28
4. 實證分析 - 區間估計 33
5. 結論 37
附錄1 39
附錄2 40
參考文獻 42
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0093751009en_US
dc.subject (關鍵詞) 模糊時間數列zh_TW
dc.subject (關鍵詞) 模糊關係矩陣zh_TW
dc.subject (關鍵詞) 預測zh_TW
dc.title (題名) 多變量模糊時間數列在財務上的應用zh_TW
dc.title (題名) An Application of Multivariate Fuzzy Time Series on Financial Markets.en_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 中文部份zh_TW
dc.relation.reference (參考文獻) [1] 吳柏林;林玉鈞, (2002), "模糊時間數列分析與預測:以台灣地區加權股價指數zh_TW
dc.relation.reference (參考文獻) 為例," 中國統計學報, Vol.25, No.1, pp.67-76.zh_TW
dc.relation.reference (參考文獻) [2] 吳柏林 (2005), 模糊統計導論, 方法與應用. 台北:五南書局zh_TW
dc.relation.reference (參考文獻) [3] 吳柏林 (1995), 時間序列分析導論. 台北:華泰書局zh_TW
dc.relation.reference (參考文獻) [4] 陳蒼山 (2006),模糊時間數列分析與預測—以石油價格為例(碩士論文)zh_TW
dc.relation.reference (參考文獻) 英文部分zh_TW
dc.relation.reference (參考文獻) [5] Dug Hun Hong (2005), A note on fuzzy time-series model. Fuzzy Sets and Systems, 155, 309-316.zh_TW
dc.relation.reference (參考文獻) [6] Diebold F. X. and Lindner P. (1996), Fractional integration and interval prediction. Economics Letters, 50, 305-313.zh_TW
dc.relation.reference (參考文獻) [7] Li, H., Miao, Z., Han, S. and Wang, J. (2005), A new kind of fuzzy relation equations based on inner transformation. Computers and Mathematics with Applications, 50, 623-636.zh_TW
dc.relation.reference (參考文獻) [8] Huarng, K. (2001), Effective lengths of intervals to improve forecasting in fuzzy time series. Fuzzy Sets and Systems, 123, 387-394.zh_TW
dc.relation.reference (參考文獻) [9] Huarng, K. (2001), Heuristic models of fuzzy time series for forecasting. Fuzzy Sets and Systems, 123, 369-386.zh_TW
dc.relation.reference (參考文獻) [10] Huarng, K. and Yu T. H. (2006), The application of neural networks to forecast fuzzy time series. Physica A, 363, 481-491.zh_TW
dc.relation.reference (參考文獻) [11] Koutroumanidis T., Iliadis L. and Sylaios G. K. (2006), Time-series modeling of fishery landings using ARIMA models and fuzzy expected intervals software. Environmental Modeling & Software, 21, 1711-1721.zh_TW
dc.relation.reference (參考文獻) [12] Ramsés H. Mena and Sephen G. Walker (2005), Stationary autoregressive models via a Bayesian nonparametric approach. Journal of Time Series Analysis, 26, 789-805.zh_TW
dc.relation.reference (參考文獻) [13] Rob J. H, Anne B.K, J. Keith Ord and Ralph D. S (2005), Prediction intervals for exponential smoothing using two new classes of state space models. Journal of Forecasting, 24, 17-37.zh_TW
dc.relation.reference (參考文獻) [14] Song, Q. and Chissom, B.S. (1993a), Forecasting enrollments with fuzzy timezh_TW
dc.relation.reference (參考文獻) series – part I. Fuzzy Sets and Systems, 54, 1-9.zh_TW
dc.relation.reference (參考文獻) [15] Song, Q. and Chissom, B.S. (1993b), Fuzzy time series and its models. Fuzzy Sets and Systems, 54, 269-277.zh_TW
dc.relation.reference (參考文獻) [16] Song, Q. and Chissom, B.S. (1994), Forecasting enrollments with fuzzy timezh_TW
dc.relation.reference (參考文獻) series – part II. Fuzzy Sets and Systems, 62, 1-8.zh_TW
dc.relation.reference (參考文獻) [17] Song, Q., Leland, R. P. and Chissom, B. S. (1995), A new fuzzy time-series model of fuzzy number observations. Fuzzy Sets and Systems, 73, 341-348.zh_TW
dc.relation.reference (參考文獻) [18] Song, Q., Leland, R. P. and Chissom, B. S. (1997), Fuzzy stochastic fuzzy timezh_TW
dc.relation.reference (參考文獻) series and its models. Fuzzy Sets and Systems, 62, 1-8.zh_TW
dc.relation.reference (參考文獻) [19] Chen, S. (1996), Forecasting enrollments based on fuzzy time series. Fuzzy Sets and Systems, 81, 311-319.zh_TW
dc.relation.reference (參考文獻) [20] Wu, B. and Chen, M. (1999), Use of fuzzy statistical technique in change periods detection of nonlinear time series. Applied Mathematics and Computation, 99, 241-254.zh_TW
dc.relation.reference (參考文獻) [21] Zimmermann, H.J. (1991), Fuzzy Set Theory and Its Applications. Boston:Kluwer Academi.zh_TW