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研究生: 王治鈞
Wang, Jhih Jyun
論文名稱: 含外生多變數之時間數列門檻模式模型分析與預測
Constructing Threshold Model with Exogenous Variables and its Forecasting
指導教授: 吳柏林
Wu, Berlin
口試委員: 吳柏林
Wu, Berlin
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: 2019
畢業學年度: 107
語文別: 中文
論文頁數: 39
中文關鍵詞: 外生多變數時間數列門檻模式預測
外文關鍵詞: Exogenous variables, Time series, Threshold model, Forecasting
DOI URL: http://doi.org/10.6814/NCCU202000969
相關次數: 點閱:107下載:2
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  • 研究目的: 探討含外生變數之時間數列門檻模式及其應用。 研究方法: 利用隱性變數找出模型之門檻值,並考慮系統內能變化修正預測。 研究發現: 含外生多變數之模糊時間數列門檻模式模型分析與預測。 研究創新: 提出以含外生多變數之門檻模式架構方法。 研究價值: 提出用模糊熵來做預測修正,增加預測之準確度。 研究結論: 本研究建構之模式,均優於傳統的模式分析與預測。


    Research Objectives: Exploring the threshold model with exogenous variables and its application. Research Methods: Use implicit variables to find the threshold of the model, and consider the system internal energy change correction prediction. Research Findings: Analysis and Forecasting of threshold model of fuzzy time series with multivariate. Research Innovations: Proposing a threshold architecture method with multivariate. Research Value: Propose to use entropy to make prediction corrections and increase the accuracy of predictions.

    1. 前言 1
    2. 研究理論與方法 4
    2.1 含外生多變數之門檻自迴歸模型 4
    2.2 隱性變數的門檻設定 9
    2.3 模式的比較 11
    2.4 模式建構的程序 13
    2.5 預測的修正—應用熵進行優質預測 14
    3. 實證分析 15
    3.1 建立含外生變數之台股指數門檻模式 15
    3.2 預測與修正 23
    3.3 模型的效率性 27
    3.4 分析與討論 36
    4. 結論 37
    5. 參考文獻 38

    [1]. 吳柏林(1995) 時間數列分析導論。台北:華泰書局。
    [2]. 吳柏林 (2005) 模糊統計導論, 方法與應用. 台北:五南書局
    [3]. 楊奕農(2009) 時間序列分析:經濟與財務上之應用。台北,雙葉書廊。
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    [9]. Bai Jushan and Pierre Perron (2003). Computation and Analysis of Multiple Structural-Change Models, Journal of Applied Econometrics, Vol.18, No.1, pp1–22.
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    [11]. Tsay Ruey S. (1989). Testing and Modeling Threshold Autoregressive Processes, Journal of the American Statistical Association, Vol.84, No.405, pp231-240.
    [12]. Hansen, Bruce E. (1999). Testing for Linearity, Journal of Economic Surveys, Vol.13, No.5, pp551-576..
    [13]. Chia-Lin Chang (2009). A Panel Threshold Model of Tourism Specialization and Economic Development, International Journal of Intelligent Technologies and Applied Statistics, pp. 159-186
    [14]. Qunyong Wang (2015). Fixed-effect panel threshold model using Stata, The Stata Journal (2015) 15, Number 1, pp. 121-134
    [15]. Henk A Tennekes (2016). A Critical Appraisal of the Threshold of Toxicity Model for NonCarcinogens, Journal of r uoJ Environmental & Analytical Toxicology
    [16]. Arastoo Bozorgi (2016). A community-based algorithm for influence maximization problem under the linear threshold model, Information Processing & Management Vol.52, Issue 6, November 2016, pp1188-1199
    [17]. Klaus K.Holst (2016). The liability threshold model for censored twin data, Computational Statistics & Data Analysis, Vol.93, January 2016, pp324-335

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