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研究生: 呂冠宏
論文名稱: 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.
指導教授: 吳柏林
學位類別: 碩士
Master
系所名稱: 理學院 - 應用數學系
Department of Mathematical Sciences
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 44
中文關鍵詞: 模糊時間數列模糊關係矩陣預測
相關次數: 點閱:132下載:118
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  • 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。


    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

    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

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    [21] Zimmermann, H.J. (1991), Fuzzy Set Theory and Its Applications. Boston:Kluwer Academi.

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