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Bibliographic Details
Main Authors: Ming, Jiahao, Shen, Yi, Wang, Ruodu
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.10329
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Table of Contents:
  • We show that a class of optimized e-value combinations, arising from a standard construction of e-processes, remains valid even when the tuning parameter is optimized based on the data. This result holds for independent e-values, and, more generally, for a new class called simultaneous e-variables, whose dependence structure lies between independence and sequential validity. We further propose an improved combination test for such e-values based on elementary symmetric polynomials.