25 citations · 48 across the 3 of their papers we have counts for
3 papers
Conformal geometry of statistical manifold with application to sequential estimation
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
We present a geometrical method for analyzing sequential estimating procedures. It is based on the design principle of the second-order efficient sequential estimation provided in…
A new formulation of asset trading games in continuous time with essential forcing of variation exponent
Kei Takeuchi, Masayuki Kumon, Akimichi Takemura
We introduce a new formulation of asset trading games in continuous time in the framework of the game-theoretic probability established by Shafer and Vovk (Probability and Finance:…
Game-theoretic versions of strong law of large numbers for unbounded variables
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
We consider strong law of large numbers (SLLN) in the framework of game-theoretic probability of Shafer and Vovk (2001). We prove several versions of SLLN for the case that Reality…