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研究生: 趙致平
Chao, Chih-Ping
論文名稱: 使用充分資訊準則選取寬度在區域性迴歸的模擬研究
A Simulation Study of Bandwidth Selection for Local Regression Using Full-Information Criteria
指導教授: 黃禮珊
Huang, Li-Shan
口試委員: 鄭少為
林千代
學位類別: 碩士
Master
系所名稱: 理學院 - 統計學研究所
Institute of Statistics
論文出版年: 2012
畢業學年度: 100
語文別: 英文
論文頁數: 29
中文關鍵詞: 寬度區域性迴歸無母數迴歸充分資訊準則
外文關鍵詞: Bandwidth, Local polynomial regression, Nonparametric regresion, Full-information, Criteria
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  • Bandwidth selection for local regression methods have been studied in the literature.
    However, the classical criteria such as AICc and GCV ignore some information from the estimated coefficients,
    leading to biased assessment.
    In this work, we propose utilizing full-information criteria for bandwidth selection and explore their performance
    through a simulation study in comparison with other existing methods.


    Bandwidth selection for local regression methods have been studied in the literature.
    However, the classical criteria such as AICc and GCV ignore some information from the estimated coefficients,
    leading to biased assessment.
    In this work, we propose utilizing full-information criteria for bandwidth selection and explore their performance
    through a simulation study in comparison with other existing methods.

    1 Introduction ...1 2 Literature Review ...5 2.1 Local Polynomial Regression ...5 2.2 Classical Bandwidth Selection Criteria ...6 3 Full-information Criteria for Bandwidth Selection ...10 3.1 Full-information SSE and Degrees of Freedom ...10 3.2 Full-information Criteria ...11 4 Simulation Results ...13 4.1 Procedure ...13 4.2 Results ...16 5 Discussion and Further Research ...19

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    [10] Mart\'{I}nez-Miranda M. D., Raya-Miranda R., Gonz\'{A}lez-Manteiga W. and Gonz\'{A}lez-Carmona. A. (2008), ``A Bootstrap Local Bandwidth Selector for Additive Models," Journal of Computational and Graphical Statistics, 17:1, 38-55.
    [11] Michael G. Schimek. (2000), Smoothing and Regression Approaches, Computation, and Application, New York : Wiley.
    [12] Ruppert, D., Sheather, S. J. and Wand, M. P. (1995), ``An Effective Bandwidth Selector for Local Least Squares regression," Journal of the American Statistical Association, 90(432), 1257-1270.
    [13] Ruppert, D., Wand, M. P., and Carroll, R. J. (2003), Semiparametric Regression, UK : Cambridge University Press.
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    [15] Zhang, C. (2003), ``Calibrating the Degrees of Freedom for Automatic Data Smoothing and Effective Curve Checking," Jorunal of the American Statistical Association, September 2003, Vol.98, No.463, 609-628 Theory and Methods.

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