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20052012
most citedOn a simple strategy weakly forcing the strong law of large numbers in the bounded forecasting game

31 citations · 93 across the 8 of their papers we have counts for

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math.ST2011

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…

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…