4 papers
Extension of the one-sample Kolmogorov-Smirnov test
Atsushi Komaba, Hisashi Johno, Kazunori Nakamoto
We propose here a new goodness-of-fit test, named the one-sample OVL-q test (q = 1, 2, . . .), which can be considered an extension of the one-sample Kolmogorov-Smirnov test (equiv…
A novel statistical approach for two-sample testing based on the overlap coefficient
Atsushi Komaba, Hisashi Johno, Kazunori Nakamoto
Here we propose a new nonparametric framework for two-sample testing, named as the OVL- (). This can be regarded as a natural extension of the Smirnov test, wh…
Decision tree-based estimation of the overlap of two probability distributions
Hisashi Johno, Kazunori Nakamoto
A new nonparametric approach, based on a decision tree algorithm, is proposed to calculate the overlap between two probability distributions. The devised framework is described ana…
Remarks on kernel Bayes' rule
Hisashi Johno, Kazunori Nakamoto, Tatsuhiko Saigo
Kernel Bayes' rule has been proposed as a nonparametric kernel-based method to realize Bayesian inference in reproducing kernel Hilbert spaces. However, we demonstrate both theoret…