The optimal wealth growth rate equals lim n→∞ of n^{-1} times inf KL(Q^n, P) over the bipolar of the n-fold null set, which is achievable and cannot be exceeded.
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Introduces anytime-valid e-processes for first- and higher-order stochastic dominance that achieve power one and remain valid under continuous monitoring.
Power-one sequential tests exist for testing any weakly compact null set of distributions against its complement.
citing papers explorer
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The optimal betting wealth growth rate
The optimal wealth growth rate equals lim n→∞ of n^{-1} times inf KL(Q^n, P) over the bipolar of the n-fold null set, which is achievable and cannot be exceeded.
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Betting on Bets: Anytime-Valid Tests for Stochastic Dominance
Introduces anytime-valid e-processes for first- and higher-order stochastic dominance that achieve power one and remain valid under continuous monitoring.
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Power one sequential tests exist for weakly compact $\mathscr P$ against $\mathscr P^c$
Power-one sequential tests exist for testing any weakly compact null set of distributions against its complement.