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A composite generalization of Ville's martingale theorem using e-processes

Ruf, Johannes et al.
arXiv (OAI Expanded) · Papers
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computer-science-and-game-theoryprobabilitystatistics-theory
We provide a composite version of Ville's theorem that an event has zero measure if and only if there exists a nonnegative martingale which explodes to infinity when that event occurs. This is a classic result connecting measure-theoretic probability to the sequence-by-sequence game-theoretic probab
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