3 citations · 5 across the 3 of their papers we have counts for
3 papers
Conformal Geometry of Sequential Test in Multidimensional Curved Exponential Family
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
This article presents a differential geometrical method for analyzing sequential test procedures. It is based on the primal result on the conformal geometry of statistical manifold…
Sequential optimizing strategy in multi-dimensional bounded forecasting games
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
We propose a sequential optimizing betting strategy in the multi-dimensional bounded forecasting game in the framework of game-theoretic probability of Shafer and Vovk (2001). By s…
Multistep Bayesian strategy in coin-tossing games and its application to asset trading games in continuous time
Kei Takeuchi, Masayuki Kumon, Akimichi Takemura
We study multistep Bayesian betting strategies in coin-tossing games in the framework of game-theoretic probability of Shafer and Vovk (2001). We show that by a countable mixture o…