| Project/Area Number |
19500243
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | Chuo University |
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Principal Investigator |
FUJIKOSHI Yasunori Chuo University, 理工学部, 客員教授 (40033849)
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| Co-Investigator(Kenkyū-buntansha) |
SUGIYAMA Takakazu 中央大学, 理工学部, 教授 (70090371)
柳原 宏和 広島大学, 理学研究科, 理学研究科 (70342615)
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| Co-Investigator(Renkei-kenkyūsha) |
YANAGIHARA Hirokazu 広島大学, 大学院・理学研究科, 准教授 (70342615)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥3,510,000 (Direct Cost: ¥2,700,000、Indirect Cost: ¥810,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 高次元情報量基準 / 多変量モデル / 判別分析 / 変数選択 / 高次元小標本 / 正準相関 / 経時データモデル / 共分散構造 / 高次元判別分析 / 変数選択法 / モデル選択 / 関数関係モデル / 高次元漸近分布 / 重相関 / グラフィカルモデル / 条件付独立性構造 |
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| Research Abstract |
In this study, we considered to derive model selection criteria for various multivariate models under high-dimensional situations where the dimension is smaller than the sample size, but both of them tend to infinity. Concretely we derived high-dimensional AIC for additional information models in discriminant analysis, CAIC criterion for parallelism models in MANOVA and modified Cp criterion for selection of ridge parameters in multivariate regression model. Further, we derived high-dimensional asymptotic distributions of the roots in MANOVA, canonical correlations, etc.
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