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math.ST2026
Strong duality for the GROW criterion
Ashwin Ram, Martin Larsson, Johannes Ruf +1
This paper presents general strong duality results when testing hypotheses by betting against them. A bet is an e-variable for a composite null hypothesis $\Pcal$: a nonnegative ra…
math.ST2026
A complete characterization of testable hypotheses
Martin Larsson, Johannes Ruf, Aaditya Ramdas
We revisit a fundamental question in hypothesis testing: given two sets of probability measures and , when does a nontrivial (i.e.\ strictly unbiased) te…
math.ST2026
Testing hypotheses generated by constraints
Martin Larsson, Aaditya Ramdas, Johannes Ruf
E-variables are nonnegative random variables with expected value at most one under any distribution from a given null hypothesis. Every nonasymptotically valid test can be obtained…