@article{CTT100838131,
  author = {Natsuki Kariya and Sumio Watanabe},
  title = {Testing Homogeneity for Normal Mixture Models: Variational Bayes Approach},
  journal = {IEICE Transactions on Fundamentals of Electronics,Communications and Computer Sciences},
  year = 2020,
}

@article{CTT100838132,
  author = {Natsuki Kariya and Sumio Watanabe},
  title = {Asymptotic analysis of singular likelihood ratio of normal mixture by Bayesian learning theory for testing homogeneity},
  journal = {Communications in Statistics - Theory and Methods},
  year = 2020,
}

@inproceedings{CTT100780902,
  author = {仮屋 夏樹 and 渡邊澄夫},
  title = {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},
  booktitle = {},
  year = 2018,
}

@misc{CTT100844052,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  year = 2021,
}

@misc{CTT100844053,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  year = 2021,
}

@misc{CTT100875380,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  year = 2021,
}



@phdthesis{CTT100844052,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  school = {東京工業大学},
  year = 2021,
}

@phdthesis{CTT100844053,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  school = {東京工業大学},
  year = 2021,
}

@phdthesis{CTT100875380,
  author = {Natsuki Kariya},
  title = {Theoretical Study of Bayesian Hypothesis Testing for Singular Models},
  school = {東京工業大学},
  year = 2021,
}