"Natsuki Kariya","Theoretical Study of Bayesian Hypothesis Testing for Singular Models",,,,,,,2021,Mar. "Natsuki Kariya","Theoretical Study of Bayesian Hypothesis Testing for Singular Models",,,,,,,2021,Mar. "Natsuki Kariya","Theoretical Study of Bayesian Hypothesis Testing for Singular Models",,,,,,,2021,Mar. "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",2020,Nov. "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",,,2020,Nov. "‰¼‰® ‰ÄŽ÷,“n粟•v","¬‡³‹K•ª•z‚̋ψ꫌Ÿ’è‚É‚¨‚¯‚éƒxƒCƒYŒŸ’è“Œv—Ê‚Ì‘Q‹ß‹““®","2018”N“x“ŒvŠÖ˜A˜A‡‘å‰ï",,,,,,2018,Sept.