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math.ST2026
Sequential testing of conditionally constrained hypotheses
Eugenio Clerico
We explicitly characterise the full class of e-processes for testing conditional non-parametric hypotheses, defined by finitely many conditional constraints. Our main result is a c…
math.LO2026
Borel selection of dominating hyperplanes
Eugenio Clerico
We study a natural measurable selection problem for which the standard uniformisation theorems do not seem to apply directly, yet a Borel selector exists. More precisely, we consid…
math.ST2026
Optimal e-values for testing the mean of a bounded random variable against a composite alternative
Sebastian Arnold, Eugenio Clerico
We derive explicitly the e-values with optimal (relative) growth rate in the worst case for testing the mean of a bounded random variable, thereby providing the first application o…