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研究生: 黃逸勤
論文名稱: 穩健迴歸轉換與區域影響分析
Robust Regression Transformation and Diagnostics Using Local Influence
指導教授: 鄭宗記
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 2002
畢業學年度: 90
語文別: 中文
論文頁數: 59
中文關鍵詞: 穩健迴歸轉換區域影響
外文關鍵詞: Robust Regression Transformation, Local Influence
相關次數: 點閱:215下載:6
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  • 目錄
    第1章 緒論-----1
      1.1 前言
      1.2 論文架構
    第2章 概似比檢定與分數統計量-----3
      2.1 Box-Cox乘冪轉換與概似比檢定
      2.2 分數統計量
    第3章 區域影響-----7
      3.1 區域影響之概論
        3.1.1 區域影響的動機
        3.1.2 a(ω)的曲度
        3.1.3 線性迴歸模型中對觀察值取權數
      3.2 將區域影響方法應用於變數轉換
        3.2.1 對向量ε之變異數作干擾變動
        3.2.2 對反應變數作干擾變動
    第4章 前進演算法與區域影響應用於轉換參數-----17
      4.1 穩健迴歸估計
        4.1.1 最小中位數平方法
        4.1.2 前進演算法的三步驟
        4.1.3 診斷圖
      4.2 將區域影響方法應用於變數轉換參數並和前進演算法相結合
      4.3 實例分析
      4.3.1:stack loss資料
      4.3.2:baseball資料
    第5章 結論與後續研究-----35
    參考文獻-----36
    stack loss圖形-----38
    baseball圖形-----46

    Atkinson, A. C. (1973), “Testing Transformation to Normality”, Journal of the Royal Statistical Society, Ser. B, 35, 473-479.
    _____ (1985), Plots, Transformations, and Regression, Oxford: Clarendon Press.
    _____ (1994), “Fast Very Robust Methods for the Detection of Multiple Outliers”, Journal of the American Statistical Association, 89, 1329-1339.
    Atkinson, A. C., and Riani, M. (2000), “Robust Diagnostic Data Analysis:
    Transformations in Regression”, Technometrics, 42, 384-393.
    _____ (2000), Robust Diagnostic Regression Analysis, New York: Springer-Verlag.
    Box, G. E. P., and Cox, D. R. (1964), “An Analysis Of Transformation”, Journal of the Royal Statistical Society, Ser. B, 26, 211-246.
    Brownlee, K. A. (1965), Statistical Theory and Methodology in Science and Engineering (2nd ed.), New York: John Wiley.
    Cook, R. D. (1977), “Detection of Influential Observations In Linear Regression”, Technometrics, 19, 15-18.
    Cook, R. D. (1986), “Assessment of Local Influence”, Journal of the Royal Statistical Society, Ser. B, 48, 133-169.
    Donoho, D. L. and Huber, P. J. (1983), The notion of breakdown point, in A Festschrift for Erich Lehmann, edited by P. Bickel, K. Doksum and J. L. Hodges, Jr., Wadsworth, Belmont, CA.
    Hampel, F., Ronchetti, E. M., Rousseeuw, P., and Stahek, W. A. (1986), Robust Statistics, New York: John Wiley.
    Kim, C. (1996), “Local Influence and Replacement Measure”, Communication in Statistics-Theory and Methods, 25(1), 49-61.
    Lawrance, A. J. (1988), “Regression Transformation Diagnostics Using Local Influence”, Journal of the American Statistical Association, 83, 1067-1072.
    Rousseeuw, P. J. (1984), “Least Median of Squares Regression,” Journal of the American Statistical Association, 79 , 871-880.
    Rousseeuw, P. J., and Leroy, A. M. (1987), Robust Regression and Outlier Detection, New York: John Wiley.
    Rousseeuw, P. J., and Zomeren, B. C. (1990), “Unmasking Multivariate Outliers and Leverage Points”, Journal of the American Statistical Association, 85, 633-639.
    Siegel, A. F. (1982), “Robust Regression Using Repeated Medians”, Biometrika, 69, 242-244.
    Stoker, J. J (1969), Differential Geometry, New York: Wiley.

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