609 citations · 1.8k across the 89 of their papers we have counts for
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math.ST2008★ 3 cited
Superefficiency from the Vantage Point of Computability
Vladimir Vovk
In 1952 Lucien Le Cam announced his celebrated result that, for regular univariate statistical models, sets of points of superefficiency have Lebesgue measure zero. After reviewing…
math.PR2008★ 1 cited
The generality of the zero-one laws
Akimichi Takemura, Vladimir Vovk, Glenn Shafer
We prove game-theoretic generalizations of some well known zero-one laws. Our proofs make the martingales behind the laws explicit, and our results illustrate how martingale argume…
math.PR2008★ 6 cited
Game-theoretic Brownian motion
Vladimir Vovk
This paper suggests a perfect-information game, along the lines of Levy's characterization of Brownian motion, that formalizes the process of Brownian motion in game-theoretic prob…