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2009 Fiscal Year Final Research Report

Asymptotic properties of information criteria for selecting hyper parameter

Research Project

  • PDF
Project/Area Number 19700265
Research Category

Grant-in-Aid for Young Scientists (B)

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

Principal Investigator

YANAGIHARA Hirokazu  Hiroshima University, 大学院・理学研究科, 准教授 (70342615)

Project Period (FY) 2007 – 2009
Keywordsモデル選択 / 情報量規準 / 罰則付き尤度 / バイアス補正
Research Abstract

We proposed two bias-corrected CV criteria, one is reducing the bias of CV to O(n^<-2k>) by the weighed sum of leave-k-out CV criteria, and the other is reducing the bias of CV to O(n^<-3>) by applying the jackknife method to an evaluation of the bias. Moreover, we proposed an unbiased C_p criterion for multivariate ridge regression under the normal assumption.

  • Research Products

    (9 results)

All 2010 2009 2008 2007 Other

All Journal Article (2 results) (of which Peer Reviewed: 2 results) Presentation (6 results) Remarks (1 results)

  • [Journal Article] An unbiased Cp criterion for multivariate ridge regression2010

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

      Journal of Multivariate Analysis Vol.101

      Pages: 1226-1238

    • Peer Reviewed
  • [Journal Article] 多変量一般化リッジ回帰におけるリッジパラメータ最適化のためのバイアス補正Cp規準2009

    • Author(s)
      柳原宏和・永井勇・佐藤健一
    • Journal Title

      応用統計学 38巻

      Pages: 151-172

    • Peer Reviewed
  • [Presentation] 多変量一般化リッジ回帰モデルにおけるリッジパラメータ最適化法の比較2009

    • Author(s)
      永井勇・柳原宏和・佐藤健一
    • Organizer
      2009年度統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-09
  • [Presentation] Bias corrections of cross-validation criterion2009

    • Author(s)
      Yanagihara, H
    • Organizer
      2009年度統計関連学会連合大会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-07
  • [Presentation] Simple bias-corrected cross-validation criterion2009

    • Author(s)
      Yanagihara, H
    • Organizer
      The 2009 Joint Statistical Meetings
    • Place of Presentation
      Walter E. Washington Convention Center USA (Poster Session)
    • Year and Date
      2009-08-03
  • [Presentation] 多変量一般化リッジ回帰モデルにおけるリッジパラメータの選択法2008

    • Author(s)
      永井勇・柳原宏和・佐藤健一
    • Organizer
      2008年度統計関連学会連合大会
    • Place of Presentation
      慶応大学
    • Year and Date
      2008-09-08
  • [Presentation] Modified Cp in multivariate ridge regression2007

    • Author(s)
      Satoh, K., Yanagihara, H
    • Organizer
      East Asia Regional Biometric Conference 2007
    • Place of Presentation
      University of Tokyo (Poster Session)
    • Year and Date
      2007-12-10
  • [Presentation] クロスバリデーション規準の簡単なバイアス補正法2007

    • Author(s)
      柳原宏和
    • Organizer
      2007年度統計関係学会連合大会
    • Place of Presentation
      神戸大学
    • Year and Date
      2007-09-08
  • [Remarks]

    • URL

      http://www.math.sci.hiroshima-u.ac.jp/~yanagi/

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Published: 2011-06-18   Modified: 2016-04-21  

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