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2012 Fiscal Year Final Research Report

Development and Application of A Non-iterative Selection Methods for Smoothing Parameters

Research Project

  • PDF
Project/Area Number 22650058
Research Category

Grant-in-Aid for Challenging Exploratory Research

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionHiroshima University

Principal Investigator

YANAGIHARA Hirokazu  広島大学, 大学院・理学研究科, 准教授 (70342615)

Co-Investigator(Renkei-kenkyūsha) FUJISAWA Hironori  統計数理研究所, 数理・推論研究系, 准教授 (00301177)
NINOMIYA Yoshiyuki  九州大学, マス フォア インダストリ研究所, 准教授 (50343330)
Project Period (FY) 2010 – 2012
Keywords平滑化 / モデル選択 / 情報量規準 / 一般化リッジ回帰
Research Abstract

In this research, by applying the generalized ridge regressionto the nonparametric regression, we changed the model so that the parameters which make Cp criterion the minimum can be obtained by closed forms. Usingthese results, we proposed non-iterative optimization method for smoothing method. Moreover, we applied the proposed smoothing method to several nonparametric regression models.

  • Research Products

    (13 results)

All 2013 2012 2011 2010

All Journal Article (6 results) (of which Peer Reviewed: 6 results) Presentation (5 results) Book (2 results)

  • [Journal Article] Bias-corrected AIC for selecting variables in Poisson regression models2013

    • Author(s)
      Kamo, K., Yanagihara, H., & Satoh, K.
    • Journal Title

      Communication in Statistics Theory and Method

      Volume: 42 Pages: 1911-1921

    • Peer Reviewed
  • [Journal Article] Optimization of ridge parameters in multivariate generalized ridge regression by plug-in methods2012

    • Author(s)
      Nagai, I., Yanagihara, H. & Satoh, K.
    • Journal Title

      Hiroshima Mathematical Journal

      Volume: 42 Pages: 301-324

    • Peer Reviewed
  • [Journal Article] Bias-corrected AIC for selecting variables in multinomial logistic regression models2012

    • Author(s)
      Yanagihara, H., Kamo, K., Imori, S. & Satoh, K
    • Journal Title

      Linear Algebra and Its Applications

      Volume: 436 Pages: 4329-4341

    • Peer Reviewed
  • [Journal Article] A non-iterative optimization method for smoothness in penalized spline regression2012

    • Author(s)
      Yanagihara, H
    • Journal Title

      Statistics and Computing

      Volume: 22 Pages: 527-544

    • Peer Reviewed
  • [Journal Article] Second-order bias-corrected AIC in multivariate normal linear models under nonnormality2011

    • Author(s)
      Yanagihara, H., Kamo, K. & Tonda, T
    • Journal Title

      The Canadian Journal of Statistics

      Volume: 39 Pages: 126-146

    • Peer Reviewed
  • [Journal Article] An unbiased Cpcriterion for multivariate ridge regression2010

    • Author(s)
      Yanagihara, H. & Satoh, K
    • Journal Title

      Journal of Multivariate Analysis

      Volume: 101 Pages: 1226-1238

    • Peer Reviewed
  • [Presentation] A consistency property of AIC for multivariate linear models when the dimension and the sample size are large2012

    • Author(s)
      Yanagihara, H., Wakaki, H. & Fujikoshi, Y.
    • Organizer
      The 40th Annual Meeting of the Statistical Society of Canada
    • Place of Presentation
      University of Guelph (Canada)
    • Year and Date
      2012-06-05
  • [Presentation] An explicit solution to minimization problem for GCV in generalized ridge regression2011

    • Author(s)
      柳原宏和
    • Organizer
      2011年度統計関連学会連合大会
    • Place of Presentation
      九州大学
    • Year and Date
      2011-09-06
  • [Presentation] 情報量規準とバイアス補正2011

    • Author(s)
      柳原宏和
    • Organizer
      応用統計学会 2011 年度年会
    • Place of Presentation
      大阪大学
    • Year and Date
      2011-06-04
  • [Presentation] 動径基底関数に基づくノンパラメトリック回帰モデルにおける正則化パラメータの繰り返し計算を必要としない最適化法2010

    • Author(s)
      井上永介・柳原宏和
    • Organizer
      2010 年度統計関連学会連合大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2010-09-07
  • [Presentation] ノンパラメトリック成長曲線モデルとその推定法2010

    • Author(s)
      永井 勇・柳原宏和
    • Organizer
      2010年度統計関連学会連合大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2010-09-07
  • [Book] R による環境データの統計分析 -森林科学分野での応用-2012

    • Author(s)
      吉本 敦・加茂憲一・柳原宏和
    • Total Pages
      202
    • Publisher
      朝倉出版
  • [Book] 確率・統計の数学的基礎2011

    • Author(s)
      藤越康祝・若木宏文・柳原宏和
    • Total Pages
      373
    • Publisher
      広島大学出版会

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Published: 2014-08-29   Modified: 2015-10-15  

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