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The multiple testing literature has primarily dealt with three types of dependence assumptions between p-values: independence, positive regression dependence, and arbitrary dependence.
The problem of multiple comparisons
John Wilder Tukey · 1953
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The one-sided barrier problem for Gaussian noise
David Slepian · 1962
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A remark on a paper of Trawinski and David entitled: “selection of the best treatment in a paired-comparison experiment”
Peter J Huber · 1963
Earlier work this paper cites.
Some concepts of dependence
Erich Leo Lehmann · 1966
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Some lower bounds of reliability
Tapas K Sarkar · 1969
Earlier work this paper cites.
Das maximale signifikanzniveau des tests: “Lehne H 0 {H}_{0} ab, wenn k k unter n n gegebenen tests zur ablehnung führen”
Bernhard Rüger · 1978
Earlier work this paper cites.
Classes of orderings of measures and related correlation inequalities. i. multivariate totally positive distributions
Samuel Karlin and Yosef Rinott · 1980
Earlier work this paper cites.
Some concepts of negative dependence
Henry W Block, Thomas H Savits, and Moshe Shaked · 1982
Earlier work this paper cites.
Tests of the overall hypothesis for arbitrary dependence structures
Gerhard Hommel · 1983
Earlier work this paper cites.
Negative association of random variables with applications
Kumar Joag-Dev and Frank Proschan · 1983
Earlier work this paper cites.
A concept of negative dependence using stochastic ordering
Henry W Block, Thomas H Savits, and Moshe Shaked · 1985
Earlier work this paper cites.
An improved Bonferroni procedure for multiple tests of significance
R John Simes · 1986
Earlier work this paper cites.
Controlling the false discovery rate: a practical and powerful approach to multiple testing
Yoav Benjamini and Yosef Hochberg · 1995
Earlier work this paper cites.
Extensions of multiple testing procedures based on Simes’ test
Yosef Hochberg and Dror Rom · 1995
Earlier work this paper cites.
Stochastic orders generated by integrals: a unified study
Alfred Müller · 1997
Earlier work this paper cites.
Some probability inequalities for ordered MTP2 random variables: a proof of the Simes conjecture
Sanat K Sarkar · 1998
Earlier work this paper cites.
A comparison theorem on moment inequalities between negatively associated and independent random variables
Qi-Man Shao · 2000
Cited alongside, same era.
The control of the false discovery rate in multiple testing under dependency
Yoav Benjamini and Daniel Yekutieli · 2001
Cited alongside, same era.
Comparison Methods for Stochastic Models and Risks
Alfred Muller and Dietrich Stoyan · 2002
Cited alongside, same era.
True and false discoveries with independent e-values
Vladimir Vovk and Ruodu Wang · 2003
Cited alongside, same era.
An Introduction to Copulas
Roger B Nelsen · 2007
Cited alongside, same era.
Fdr control by the bh procedure for two-sided correlated tests with implications to gene expression data analysis
Weijie J Su · 2018
Later among the works it cites.
A unified treatment of multiple testing with prior knowledge using the p-filter
Aaditya K Ramdas, Rina F Barber, Martin J Wainwright, and Michael I Jordan · 2019
Later among the works it cites.
Post hoc confidence bounds on false positives using reference families
Gilles Blanchard, Pierre Neuvial, and Etienne Roquain · 2020
Later among the works it cites.
Time-uniform Chernoff bounds via nonnegative supermartingales
Steven R Howard, Aaditya Ramdas, Jon McAuliffe, and Jasjeet Sekhon · 2020
Later among the works it cites.
Handbook of Multiple Comparisons
Xinping Cui, Thorsten Dickhaus, Ying Ding, and Jason C Hsu · 2021
Later among the works it cites.
Testing by betting: A strategy for statistical and scientific communication
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Anat Reiner-Benaim · 2007
Cited alongside, same era.
Stochastic Orders
Moshe Shaked and J George Shanthikumar · 2007
Cited alongside, same era.
Test martingales, Bayes factors and p-values
Glenn Shafer, Alexander Shen, Nikolai Vereshchagin, and Vladimir Vovk · 2011
Cited alongside, same era.
Concentration Inequalities: A Nonasymptotic Theory of Independence
Stéphane Boucheron, Gábor Lugosi, and Pascal Massart · 2013
Cited alongside, same era.
Mathematical Risk Analysis: Dependence, Risk Bounds, Optimal Allocations and Portfolios
Ludger Ruschendorf · 2013
Cited alongside, same era.
Extremal dependence concepts
Giovanni Puccetti and Ruodu Wang · 2015
Cited alongside, same era.
On empirical distribution function of high-dimensional gaussian vector components with an application to multiple testing
Sylvain Delattre and Etienne Roquain · 2016
Cited alongside, same era.
Glenn Shafer · 2021
Later among the works it cites.
E-values: Calibration, combination and applications
Vladimir Vovk and Ruodu Wang · 2021
Later among the works it cites.
Multiple testing under negative dependence
Ziyu Chi, Aaditya Ramdas, and Ruodu Wang · 2022
Closest in time.
On tournaments and negative dependence
Yaakov Malinovsky and Yosef Rinott · 2022
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Admissible ways of merging p-values under arbitrary dependence
Vladimir Vovk, Bin Wang, and Ruodu Wang · 2022
Closest in time.
False discovery rate control with e-values
Ruodu Wang and Aaditya Ramdas · 2022
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Trade-off between validity and efficiency of merging p-values under arbitrary dependence
Yuyu Chen, Peng Liu, Ken Seng Tan, and Ruodu Wang · 2023
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Pairwise counter-monotonicity
Jean-Gabriel Lauzier, Liyuan Lin, and Ruodu Wang · 2023
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E-values as unnormalized weights in multiple testing
Nikolaos Ignatiadis, Ruodu Wang, and Aaditya Ramdas · 2024
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A central limit theorem for the benjamini-hochberg false discovery proportion under a factor model
Dan M Kluger and Art B Owen · 2024
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