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We discuss systematically two versions of confidence regions: those based on p-values and those based on e-values, a recent alternative to p-values. Both versions can be applied to multiple hypothesis testing, and in this paper we are interested in procedures that control the number of false discoveries under arbitrary dependence between the base p- or e-values. We introduce a procedure that is based on e-values and show that it is efficient both computationally and statistically using simulated and real-world datasets. Comparison with the corresponding standard procedure based on p-values is not straightforward, but there are indications that the new one performs significantly better in some situations.
Original languageEnglish
Pages (from-to)329-354
Number of pages26
JournalStatistical Science
Issue number2
Early online date6 Feb 2023
Publication statusE-pub ahead of print - 6 Feb 2023

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