16 citations · 79 across the 12 of their papers we have counts for
12 papers
Recursive computation for evaluating the exact -values of temporal and spatial scan statistics
Satoshi Kuriki, Kunihiko Takahashi, Hisayuki Hara
Let be a finite set of indices, and let , , be subsets of such that . Let , , be independent random variables, and l…
Identifiability of directed Gaussian graphical models with one latent source
Dennis Leung, Mathias Drton, Hisayuki Hara
We study parameter identifiability of directed Gaussian graphical models with one latent variable. In the scenario we consider, the latent variable is a confounder that forms a sou…
Running Markov chain without Markov basis
Hisayuki Hara, Satoshi Aoki, Akimichi Takemura
The methodology of Markov basis initiated by Diaconis and Sturmfels(1998) stimulated active research on Markov bases for more than ten years. It also motivated improvements of algo…
A Markov basis for two-state toric homogeneous Markov chain model without initial parameters
Hisayuki Hara, Akimichi Takemura
We derive a Markov basis consisting of moves of degree at most three for two-state toric homogeneous Markov chain model of arbitrary length without parameters for initial states. O…
Markov chain Monte Carlo test of toric homogeneous Markov chains
Akimichi Takemura, Hisayuki Hara
Markov chain models are used in various fields, such behavioral sciences or econometrics. Although the goodness of fit of the model is usually assessed by large sample approximatio…
Hierarchical subspace models for contingency tables
Hisayuki Hara, Tomonari Sei, Akimichi Takemura
For statistical analysis of multiway contingency tables we propose modeling interaction terms in each maximal compact component of a hierarchical model. By this approach we can sea…