ウェーブレットに基づく非線形統計モデリングの研究

• Project/Area Number: 19700266
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Statistical science
• Research Institution: Fukuoka 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: ¥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。

Research Products

• [Journal Article] Wavelet-based modeling and its applications to functional data analysis, Proceedings of the DMHF2007 (2007)
  • Author(s): Toru Fujii
  • Journal Title: COE Conference on the Development of Dynamic Mathematics with High Functionality Pages: 187-190
• [Journal Article] Wavelet-based modeling and its applications to functional data analysis (2007)
  • Author(s): Toru Fujii
  • Journal Title: Proceedings of the DMHF2007: COE Conference on the Development of Dynamic Mathematics with High Functionality Pages: 187-190
• [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)
  • Peer Reviewed
• [Presentation] Wavelet-based modeling and its applications to functional data analysis, DMHF2007 (2007)
  • 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
• [Presentation] Wavelet-based modeling and its applications to functional data analysis (2007)
  • 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