From the 1 of 10 linked papers with an AI index.
10 papers
Optimal e-values for testing the mean of a bounded random variable against a composite alternative
Sebastian Arnold, Eugenio Clerico
The paper derives e-values that achieve the best worst‑case relative growth rate for testing the mean of a bounded random variable against composite alternatives, and characterizes…
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…
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…
A simple geometric proof for the characterisation of e-merging functions
Eugenio Clerico
E-values offer a powerful framework for aggregating evidence across different (possibly dependent) statistical experiments. A fundamental question is to identify e-merging function…
On the optimality of coin-betting for mean estimation
Eugenio Clerico
We consider the problem of testing the mean of a bounded real random variable. We introduce a notion of optimal classes for e-variables and e-processes, and establish the optimalit…
Optimal e-value testing for properly constrained hypotheses
Eugenio Clerico
Hypothesis testing via e-variables can be framed as a sequential betting game, where a player each round picks an e-variable. A good player's strategy results in an effective stati…