3 citations · 5 across the 7 of their papers we have counts for
4 papers · 1 filter
Relation between the rate of convergence of strong law of large numbers and the rate of concentration of Bayesian prior in game-theoretic probability
Ryosuke Sato, Kenshi Miyabe, Akimichi Takemura
We study the behavior of the capital process of a continuous Bayesian mixture of fixed proportion betting strategies in the one-sided unbounded forecasting game in game-theoretic p…
Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales: a game-theoretic approach
Takeyuki Sasai, Kenshi Miyabe, Akimichi Takemura
We prove an Erdos-Feller-Kolmogorov-Petrowsky law of the iterated logarithm for self-normalized martingales. Our proof is given in the framework of the game-theoretic probability o…
Derandomization in Game-theoretic Probability
Kenshi Miyabe, Akimichi Takemura
We give a general method for constructing a deterministic strategy of Reality from a randomized strategy in game-theoretic probability. The construction can be seen as derandomizat…
Convergence of random series and the rate of convergence of the strong law of large numbers in game-theoretic probability
Kenshi Miyabe, Akimichi Takemura
We give a unified treatment of the convergence of random series and the rate of convergence of strong law of large numbers in the framework of game-theoretic probability of Shafer…