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math.ST2005
Indispensable monomials of toric ideals and Markov bases
Satoshi Aoki, Akimichi Takemura, Ruriko Yoshida
Extending the notion of indispensable binomials of a toric ideal, we define indispensable monomials of a toric ideal and establish some of their properties. They are useful for sea…
math.ST2005
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…