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    題名: A note on kernel polygons
    作者: 林千代;Lin, Chien-tai;伍志祥;Wu, Jyh-shyang;顏嘉宏;Yen Chia-hung
    貢獻者: 淡江大學數學學系
    關鍵詞: Edge frequency polygon;Frequency polygon;Integrated mean squared error
    Edge frequency polygon;Frequency polygon;Integrated mean squared error;Kernel density estimator;Smoothing
    日期: 2006-03
    上傳時間: 2010-01-28
    出版者: Oxford University Press
    摘要: Jones (1989) has pointed out that piecewise linear interpolated kernel density estimators on a sufficiently fine grid can be visually indistinguishable from the true density. A simple device, the kernel polygon, is proposed for eliminating the evaluation of the normalisation constant of the estimator while retaining its property of being a density function as well as providing practical advantages. The class of uniform and linear kernels of the kernel polygons is given. Finally, we present a simulation study and a real data example in which we compare bandwidth selectors for the kernel polygons.
    關聯: Biometrika 93(1), pp.228-234
    DOI: 10.1093/biomet/93.1.228
    顯示於類別:[數學學系暨研究所] 期刊論文


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