On Avoidance of the Over-fitting in the B-Spline Non-parametric Regression Model

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  • Yanagihara Hirokazu
    Graduate School of Systems and Information Engineering University of Tsukuba
  • Ohtaki Megu
    Department of Environmetrics and Biometrics Research Institute for Radiation Biology and Medicine Hiroshima University

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Other Title
  • Ｂ‐スプラインノンパラメトリック回帰モデルにおける過剰適合の回避について
  • B スプラインノンパラメトリック カイキ モデル ニ オケル カジョウ テキゴウ ノ カイヒ ニ ツイテ

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Description

The B-spline method for scatterplot smoothing has the advantages of simplicity and time-economization in its computation over other nonparametric smoothing methods such as the kernel method, whereas it has the disadvantage of instability due to over-fitting data with a complicated trend because of the excess flexibility. In this paper, we modify this demerit of the B-spline method by introducing an information criterion for optimization of the number of knots and the smoothing parameter to avoid over-fitting.

Journal

  • Ouyou toukeigaku

    Ouyou toukeigaku 33 (1), 51-69, 2004

    Japanese Society of Applied Statistics

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