31 citations · 93 across the 8 of their papers we have counts for
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math.ST2005★ 12 cited
Capital process and optimality properties of a Bayesian Skeptic in coin-tossing games
Masayuki Kumon, Akimichi Takemura, Kei Takeuchi
We study capital process behavior in the fair-coin game and biased-coin games in the framework of the game-theoretic probability of Shafer and Vovk (2001). We show that if Skeptic…
math.PR2005★ 31 cited
On a simple strategy weakly forcing the strong law of large numbers in the bounded forecasting game
Masayuki Kumon, Akimichi Takemura
In the framework of the game-theoretic probability of Shafer and Vovk (2001) it is of basic importance to construct an explicit strategy weakly forcing the strong law of large numb…