Author

R. de Heide

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Preprint Sep 2026

Statistical reduction before the target is known: two boundary results

Suppose that the eventual use of data is not known when the data are reduced or collected. This note considers two simple boundary cases. In a finite statistical experiment, a statistic preserves the Bayes risk for every finite later decision problem if and only if it is sufficient. Hence, when the minimal sufficient s...

R. de Heide · 0 citations

Preprint Aug 2026

Where Does the Union Bound Go? Best-Arm Identification and Strong FWER Control

In fixed-confidence best-arm identification, proofs often use a union bound across the competing arms. From a multiple-testing point of view this can look puzzling: if the best arm is unique, only one hypothesis of the form ``arm $i$ is best''can be true. Why then should there be a Bonferroni-type factor of $K-1$? The...

R. de Heide · 0 citations