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.
arXiv preprint arXiv:2410.23614 , year=
3 Pith papers cite this work. Polarity classification is still indexing.
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The weighted Holm procedure (WHP) based on ordered weighted p-values is uniformly more powerful than the weighted alternative Holm procedure (WAP) based on ordered raw p-values, with stronger optimality properties under FWER control.
Active hypothesis testing framework uses auxiliary statistics for data-adaptive budget allocation to produce valid p-values or e-values with optimality under independence and admissibility under dependence.
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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.
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Weighted Holm Procedures: Theory, Properties, and Recommendations
The weighted Holm procedure (WHP) based on ordered weighted p-values is uniformly more powerful than the weighted alternative Holm procedure (WAP) based on ordered raw p-values, with stronger optimality properties under FWER control.
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Active Hypothesis Testing under Computational Budgets with Applications to GWAS and LLM
Active hypothesis testing framework uses auxiliary statistics for data-adaptive budget allocation to produce valid p-values or e-values with optimality under independence and admissibility under dependence.