78 citations · 236 across the 18 of their papers we have counts for
Showing 2005 · math.PRShow all
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math.PR2005
Game theoretic derivation of discrete distributions and discrete pricing formulas
Akimichi Takemura, Taiji Suzuki
In this expository paper we illustrate the generality of game theoretic probability protocols of Shafer and Vovk (2001) in finite-horizon discrete games. By restricting ourselves t…
math.PR2005
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…
math.PR2005★ 78 cited
Validity of the expected Euler characteristic heuristic
Jonathan Taylor, Akimichi Takemura, Robert J. Adler
We study the accuracy of the expected Euler characteristic approximation to the distribution of the maximum of a smooth, centered, unit variance Gaussian process f. Using a point p…