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We develop a technique to improve the power of any e-value by a simple randomization involving one independent uniform random variable.
On Closed Testing Procedures with Special Reference to Ordered Analysis of Variance
R. Marcus, E. Peritz, and K. R. Gabriel · 1976
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Das maximale signifikanzniveau des tests “lehne h0 ab, wenn k unter n gegebenen tests zur ablehnung führen”
B. Rüger · 1978
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Allgemeine Lösungen multipler Testprobleme
E. Sonnemann · 1982
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Tests of the Overall Hypothesis for Arbitrary Dependence Structures
G. Hommel · 1983
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An Improved Bonferroni Procedure for Multiple Tests of Significance
R. J. Simes · 1986
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Vollständigkeitssätze für Multiple Testprobleme
E. Sonnemann and H. Finner · 1988
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Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
Y. Benjamini and Y. Hochberg · 1995
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Machine-Learning Applications of Algorithmic Randomness
V. Vovk, A. Gammerman, and C. Saunders · 1999
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The control of the false discovery rate in multiple testing under dependency
Y. Benjamini and D. Yekutieli · 2001
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Generalized Neyman-Pearson Lemma via Convex Duality
J. Cvitanić and I. Karatzas · 2001
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False Discovery Rate–Adjusted Multiple Confidence Intervals for Selected Parameters
Y. Benjamini and D. Yekutieli · 2005
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Algorithmic Learning in a Random World
V. Vovk, A. Gammerman, and G. Shafer · 2005
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Two simple sufficient conditions for FDR control
G. Blanchard and E. Roquain · 2008
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On control of the false discovery rate under no assumption of dependency
W. Guo and M. Bhaskara Rao · 2008
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General solutions to multiple testing problems
E. Sonnemann · 2008
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Randomised P-values and nonparametric procedures in multiple testing
J. D. Habiger and E. A. Peña · 2011
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How to analyze many contingency tables simultaneously in genetic association studies
T. Dickhaus, K. Straßburger, D. Schunk, C. Morcillo-Suarez, T. Illig, and A. Navarro · 2012
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Selective Inference with a Randomized Response
X. Tian and J. Taylor · 2018
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Hommel’s procedure in linear time
R. J. Meijer, T. J. P. Krebs, and J. J. Goeman · 2019
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A unified treatment of multiple testing with prior knowledge using the p-filter
A. K. Ramdas, R. F. Barber, M. J. Wainwright, and M. I. Jordan · 2019
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Time-uniform Chernoff bounds via nonnegative supermartingales
S. R. Howard, A. Ramdas, J. McAuliffe, and J. Sekhon · 2020
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Combining p-values via averaging
V. Vovk and R. Wang · 2020
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Universal inference
L. Wasserman, A. Ramdas, and S. Balakrishnan · 2020
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Testing by betting: A strategy for statistical and scientific communication
G. Shafer · 2021
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Safe Testing
P. Grünwald, R. de Heide, and W. Koolen · 2024
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Conformal prediction with local weights: Randomization enables robust guarantees
R. Hore and R. F. Barber · 2024
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Empirical Bayes estimation via data fission
N. Ignatiadis and D. L. Sun · 2024
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E-values as unnormalized weights in multiple testing
N. Ignatiadis, R. Wang, and A. Ramdas · 2024
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Boosting e-BH via conditional calibration
J. Lee and Z. Ren · 2024
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Graph fission and cross-validation
J. Leiner and A. Ramdas · 2024
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E-values: Calibration, combination and applications
V. Vovk and R. Wang · 2021
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Conditional calibration for false discovery rate control under dependence
W. Fithian and L. Lei · 2022
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Admissible anytime-valid sequential inference must rely on nonnegative martingales
A. Ramdas, J. Ruf, M. Larsson, and W. Koolen · 2022
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Admissible ways of merging p-values under arbitrary dependence
V. Vovk, B. Wang, and R. Wang · 2022
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False discovery rate control with e-values
R. Wang and A. Ramdas · 2022
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A unified class of null proportion estimators with plug-in FDR control
S. Döhler and I. Meah · 2023
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Data Fission: Splitting a Single Data Point
J. Leiner, B. Duan, L. Wasserman, and A. Ramdas · 2024
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Cross-Validation with Antithetic Gaussian Randomization
S. Liu, S. Panigrahi, and J. A. Soloff · 2024
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Online multiple testing with e-values
Z. Xu and A. Ramdas · 2024
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Post-selection inference for e-value based confidence intervals
Z. Xu, R. Wang, and A. Ramdas · 2024
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Combining exchangeable P-values
M. Gasparin, R. Wang, and A. Ramdas · 2025
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Asymptotic and compound e-values: Multiple testing and empirical Bayes
N. Ignatiadis, R. Wang, and A. Ramdas · 2025
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Model-free selective inference under covariate shift via weighted conformal p-values
Y. Jin and E. J. Candès · 2025
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A note on e-values and multiple testing
G. Li and X. Zhang · 2025
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Randomized and Exchangeable Improvements of Markov’s, Chebyshev’s and Chernoff’s Inequalities
A. Ramdas and T. Manole · 2025
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The only admissible way of merging arbitrary e-values
R. Wang · 2025
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Improving knockoffs with conditional calibration
Y. Luo, W. Fithian, and L. Lei · 2026
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