78 citations · 236 across the 18 of their papers we have counts for
4 papers · 1 filter
The tube method for the moment index in projection pursuit
Satoshi Kuriki, Akimichi Takemura
The projection pursuit index defined by a sum of squares of the third and the fourth sample cumulants is known as the moment index proposed by Jones and Sibson. Limiting distributi…
Periodicity of hyperplane arrangements with integral coefficients modulo positive integers
Hidehiko Kamiya, Akimichi Takemura, Hiroaki Terao
We study central hyperplane arrangements with integral coefficients modulo positive integers . We prove that the cardinality of the complement of the hyperplanes is a quasi-poly…
Implications of contrarian and one-sided strategies for the fair-coin game
Yasunori Horikoshi, Akimichi Takemura
We derive some results on contrarian and one-sided strategies by Skeptic for the fair-coin game in the framework of the game-theoretic probability of Shafer and Vovk \cite{sv}. In…
Generalized zig-zag products of regular digraphs and bounds on their spectral expansions
Shunichi Nomura, Akimichi Takemura
We introduce a generalization of the zig-zag product of regular digraphs (directed graphs), which allows us to construct regular digraphs with m ore flexible choices of the degrees…