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E-values: Calibration, combination, and applications

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arxiv 1912.06116 v4 pith:I5FJJEBZ submitted 2019-12-12 math.ST stat.TH

E-values: Calibration, combination, and applications

classification math.ST stat.TH
keywords e-valuesmultipletestinghypotheseshypothesisp-valuessingleallows
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Risk-Limiting Audits for Parliamentary Majorities

    stat.AP 2026-07 accept novelty 6.0

    A parliamentary majority can be certified with far fewer inspected ballots than certifying every reported seat, using a product of seat-level anytime-valid e-processes and adaptive sampling.