A time-sensitive betting framework optimizes expected rewards for early rejection in anytime-valid tests, yielding an exponential-decay-optimal (EDO) criterion as a finite-time counterpart to the growth-rate-optimal (GRO) one.
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Coin-betting is optimal among e-variable frameworks for mean testing of bounded variables, yielding an explicit characterization of all admissible e-variables and e-processes.
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Time-sensitive anytime-valid testing
A time-sensitive betting framework optimizes expected rewards for early rejection in anytime-valid tests, yielding an exponential-decay-optimal (EDO) criterion as a finite-time counterpart to the growth-rate-optimal (GRO) one.
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On the optimality of coin-betting for mean estimation
Coin-betting is optimal among e-variable frameworks for mean testing of bounded variables, yielding an explicit characterization of all admissible e-variables and e-processes.