論文

• Natsuki Kariya, Sumio Watanabe. Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach, IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences, Vol. 103A, No. 11, pp. 1274-1282, Nov. 2020.
• Natsuki Kariya, Sumio Watanabe. Asymptotic analysis of singular likelihood ratio of normal mixture by Bayesian learning theory for testing homogeneity, Communications in Statistics - Theory and Methods, Vol. 42, Nov. 2020.

国内会議発表 (査読なし・不明)

• 仮屋 夏樹, 渡邊澄夫. 混合正規分布の均一性検定におけるベイズ検定統計量の漸近挙動, 2018年度統計関連連合大会, Sept. 2018.

学位論文

• Theoretical Study of Bayesian Hypothesis Testing for Singular Models,  Thesis,  Doctor (Science),  Tokyo Institute of Technology,  2021/03/26,   
• Theoretical Study of Bayesian Hypothesis Testing for Singular Models,  Summary,  Doctor (Science),  Tokyo Institute of Technology,  2021/03/26,   
• Theoretical Study of Bayesian Hypothesis Testing for Singular Models,  Exam Summary,  Doctor (Science),  Tokyo Institute of Technology,  2021/03/26,   

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