Shinshu University · Department of Science / Faculty of Science · 准教授

Research keywordsCauchy distribution・maximum likelihood estimation・Bahadur efficiency・confidence regions・Wiener spaces・Gauss divergence formula

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• Limit theorems for quasi-arithmetic means of random variables with applications to point estimations for the Cauchy distribution
• Stochastic reaction diffusion equations on an infinite interval with reflection
• Characterizations of the Maximum Likelihood Estimator of the Cauchy Distribution
• Bahadur efficiency of the maximum likelihood estimator and one-step estimator for quasi-arithmetic means of the Cauchy distribution

• 「積み木遊び」の統計力学
• ランダム行列、統計物理に動機づけられた無限次元確率力学系
• コーシー分布に対する推定と確率微分方程式の逆問題の研究
• ２次元クーロンポテンシャルによって相互作用する無限粒子系の確率幾何と確率力学

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