Tokyo University of Science · Faculty of Science Division I, Department of Applied Mathematics

Research keywords多変量解析・機械学習・ランダム行列理論・数理統計学・数学

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• Algorithm for the product of Jack polynomials and its application to the sphericity test
• Generalized heterogeneous hypergeometric functions and the distribution of the largest eigenvalue of an elliptical Wishart matrix
• Expressing the largest eigenvalue of a singular beta F-matrix with heterogeneous hypergeometric functions
• Asymptotic behavior of the distributions of eigenvalues for beta-Wishart ensemble under the dispersed population eigenvalues

• 特異ランダム行列の固有値分布論の発展とその統計的応用
• 高次元多変量解析における固有値分布論の展開
• 多変量解析に関する特異ランダム行列の固有値分布論の新展開
• 多変量解析に関する特異ランダム行列の固有値分布論の新展開

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