E-values : Calibration, combination, and applications. / Vovk, Vladimir; Wang, Ruodu.

In: The Annals of Statistics, Vol. 49, No. 3, 09.08.2021, p. 1736-1754.

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Abstract

Multiple testing of a single hypothesis and testing multiple hypotheses are usually done in terms of p-values. In this paper we replace p-values with their natural competitor, e-values, which are closely related to betting, Bayes factors, and likelihood ratios. We demonstrate that e-values are often mathematically more tractable; in particular, in multiple testing of a single hypothesis, e-values can be merged simply by averaging them. This allows us to develop efficient procedures using e-values for testing multiple hypotheses.
Original languageEnglish
Pages (from-to)1736-1754
Number of pages19
JournalThe Annals of Statistics
Volume49
Issue number3
DOIs
Publication statusPublished - 9 Aug 2021
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.

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