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ウェーブレットに基づく非線形統計モデリングの研究

Research Project

Project/Area Number 19700266
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionFukuoka University of Education

Principal Investigator

FUJII Toru  Fukuoka University of Education, 教育学部, 講師 (50432901)

Project Period (FY) 2007 – 2009
Project Status Completed (Fiscal Year 2009)
Budget Amount *help
¥3,630,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2007: ¥900,000 (Direct Cost: ¥900,000)
Keywords多変量解析 / ウェーブレット / 関数データ解析 / 関数データ判別 / 統計的モデリング / 非線形構造 / モデル評価
Research Abstract

局所適応性に優れるウェーブレット及び、情報量とベイズ理論の観点から導出されるモデル選択基準について研究し、これらに基づくモデリング手法を、ロジスティック判別問題をはじめとする関数データ解析に応用した。互いに異なる観測時点列をもつ複数個体の高次元データ集合に対してウェーブレットと関数データ解析を融合した新しいモデリング手法を提唱した。

Report

(4 results)
  • 2009 Annual Research Report   Final Research Report ( PDF )
  • 2008 Annual Research Report
  • 2007 Annual Research Report
  • Research Products

    (5 results)

All 2007 Other

All Journal Article (3 results) (of which Peer Reviewed: 1 results) Presentation (2 results)

  • [Journal Article] Wavelet-based modeling and its applications to functional data analysis, Proceedings of the DMHF20072007

    • Author(s)
      Toru Fujii
    • Journal Title

      COE Conference on the Development of Dynamic Mathematics with High Functionality

      Pages: 187-190

    • Related Report
      2009 Final Research Report
  • [Journal Article] Wavelet-based modeling and its applications to functional data analysis2007

    • Author(s)
      Toru Fujii
    • Journal Title

      Proceedings of the DMHF2007: COE Conference on the Development of Dynamic Mathematics with High Functionality

      Pages: 187-190

    • Related Report
      2007 Annual Research Report
  • [Journal Article] Multi-class logistic discrimination via wavelet-based functionalization and model selection criteria

    • Author(s)
      Toru Fujii
    • Journal Title

      Journal of the Japan Statistical Society (投稿中)(未定)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Presentation] Wavelet-based modeling and its applications to functional data analysis, DMHF20072007

    • Author(s)
      Toru Fujii
    • Organizer
      COE Conference on the Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      福岡リーセントホテル
    • Year and Date
      2007-10-03
    • Related Report
      2009 Final Research Report
  • [Presentation] Wavelet-based modeling and its applications to functional data analysis2007

    • Author(s)
      Toru Fujii
    • Organizer
      DMHF2007: COE Conference on the Development of Dynamic Mathematics with High Functionality
    • Place of Presentation
      Fukuoka Eecent Hotel
    • Year and Date
      2007-10-03
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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