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This paper proposes general methods for the problem of multiple testing of a single hypothesis, with a standard goal of combining a number of p-values without making any assumptions about their dependence structure.
Sur la notion de la moyenne
Andrei N. Kolmogorov · 1930
Earlier work this paper cites.
The Methods of Statistics: An Introduction Mainly for Experimentalists
Leonard H. C. Tippett · 1931
Earlier work this paper cites.
On a method of determining whether a sample of size n n supposed to have been drawn from a parent population having a known probability integral has probably been drawn at random
Karl Pearson · 1933
Earlier work this paper cites.
Combining independent tests of significance
Ronald A. Fisher · 1948
Earlier work this paper cites.
Inequalities
G. H. Hardy, John E. Littlewood, and George Pólya · 1952
Earlier work this paper cites.
A method for combining non-independent, one-sided tests of significance
Morton B. Brown · 1975
Earlier work this paper cites.
On closed testing procedures with special reference to ordered analysis of variance
Ruth Marcus, Eric Peritz, and K. Ruben Gabriel · 1976
Earlier work this paper cites.
Combination of one-sided statistical tests
Jacobus Oosterhoff · 1976
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.
A simple sequentially rejective multiple test procedure
Sture Holm · 1979
Earlier work this paper cites.
Berechnung des maximalen Signifikanzniveaus des Testes “Lehne H 0 {H}_{0} ab, wenn k k unter n n gegebenen Tests zur Ablehnung führen”
Dietrich Morgenstern · 1980
Earlier work this paper cites.
Estimates for the distribution function of the sum of two random variables with given marginal distributions
G. D. Makarov · 1981
Earlier work this paper cites.
Random variables with maximum sums
Ludger Rüschendorf · 1982
Earlier work this paper cites.
Tests of the overall hypothesis for arbitrary dependence structures
Gerhard Hommel · 1983
Earlier work this paper cites.
Multiple test procedures for arbitrary dependence structures
Gerhard Hommel · 1986
Earlier work this paper cites.
An improved Bonferroni procedure for multiple tests of significance
R. John Simes · 1986
Cited alongside, same era.
A stagewise rejective multiple test procedure based on a modified Bonferroni test
Gerhard Hommel · 1988
Cited alongside, same era.
Posterior predictive p p -values
Xiao-Li Meng · 1993
Cited alongside, same era.
Theory of Statistics
Mark J. Schervish · 1995
Cited alongside, same era.
Calibration of p-values for testing precise null hypotheses
Thomas Sellke, M. J. Bayarri, and James Berger · 2001
Cited alongside, same era.
Combining dependent p-values
James T. Kost and Michael P. McDermott · 2002
Cited alongside, same era.
Bounds for functions of dependent risks
The complete mixability and convex minimization problems with monotone marginal densities
Bin Wang and Ruodu Wang · 2011
Later among the works it cites.
Combining individually valid and arbitrarily dependent P-variables
Lutz Mattner · 2012
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Probability: A Graduate Course
Allan Gut · 2013
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Sharp bounds for sums of dependent risks
Giovanni Puccetti and Ludger Rüschendorf · 2013
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Mathematical Risk Analysis: Dependence, Risk Bounds, Optimal Allocations and Portfolios
Ludger Rüschendorf · 2013
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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
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Paul Embrechts and Giovanni Puccetti · 2006
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Influence and sharp-threshold theorems for monotonic measures
Benjamin T. Graham and Geoffrey R. Grimmett · 2006
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Annotated bibliography of some papers on combining significances or p-values
Robert D. Cousins · 2008
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Introduction to Meta-Analysis
Michael Borenstein, Larry V. Hedges, Julian P. T. Higgins, and Hannah R. Rothstein · 2009
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Joint mixability
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The harmonic mean p-value for combining dependent tests
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