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Methods of merging several p-values into a single p-value are important in their own right and widely used in multiple hypothesis testing.
E-values: Calibration, combination, and applications
Vladimir Vovk and Ruodu Wang · 1912
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Inequalities
G. H. Hardy, John E. Littlewood, and George Pólya · 1952
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Significance tests in parallel and in series
I. J. Good · 1958
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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
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Tests of the overall hypothesis for arbitrary dependence structures
Gerhard Hommel · 1983
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An improved Bonferroni procedure for multiple tests of significance
R. John Simes · 1986
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Some probability inequalities for ordered MTP 2 \text{MTP}_{2} random variables: a proof of the Simes conjecture
Sanat K. Sarkar · 1998
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A stochastic process approach to false discovery control
Christopher Genovese and Larry Wasserman · 2004
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A class of ie-merging functions
Vladimir Vovk and Ruodu Wang · 2007
Earlier work this paper cites.
On the distributional transform, Sklar’s theorem, and the empirical copula process
Ludger Rüschendorf · 2009
Cited alongside, same era.
Large-Scale Inference: Empirical Bayes Methods for Estimation, Testing, and Prediction
Bradley Efron · 2010
Cited alongside, same era.
Stochastic Finance: An Introduction in Discrete Time
Hans Föllmer and Alexander Schied · 2011
Cited alongside, same era.
Multiple testing for exploratory research
Jelle J. Goeman and Aldo Solari · 2011
Cited alongside, same era.
The complete mixability and convex minimization problems with monotone marginal densities
Bin Wang and Ruodu Wang · 2011
Cited alongside, same era.
Mathematical Risk Analysis
Ludger Rüschendorf · 2013
Cited alongside, same era.
Only closed testing procedures are admissible for controlling false discovery proportions
Jelle J. Goeman, Jesse Hemerik, and Aldo Solari · 2019
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The language of betting as a strategy for statistical and scientific communication
Glenn Shafer · 2019
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Admissibility in partial conjunction testing
Jingshu Wang and Art B. Owen · 2019
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The harmonic mean p-value for combining dependent tests
Daniel J. Wilson · 2019
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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 · 2020
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Bounds for the sum of dependent risks and worst Value-at-Risk with monotone marginal densities
Ruodu Wang, Liang Peng, and Jingping Yang · 2013
Cited alongside, same era.
General convex order on risk aggregation
Edwards Jakobsons, Xiaoying Han, and Ruodu Wang · 2016
Cited alongside, same era.
Joint mixability
Bin Wang and Ruodu Wang · 2016
Cited alongside, same era.
Combining p-values via averaging
Vladimir Vovk and Ruodu Wang
Cited in the paper.
Peter Grünwald, Rianne de Heide, and Wouter M. Koolen · 2020
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Cauchy combination test: a powerful test with analytic p-value calculation under arbitrary dependency structures
Yaowu Liu and Jun Xie · 2020
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Daniel J. Wilson · 2020
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