Negative dependence and the Simes inequality

DOI10.1016/j.jspi.2008.03.026zbMath1146.62312OpenAlexW2078774716MaRDI QIDQ951078

Thomas H. Savits, Jie Wang, Henry W. Block

Publication date: 29 October 2008

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2008.03.026

zbMATH Keywords

order statistics

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Measures of association (correlation, canonical correlation, etc.) (62H20) Order statistics; empirical distribution functions (62G30) Statistical distribution theory (62E99)

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On Samuel's \(p\)-value model and the Simes test under dependence ⋮ A nonparametric coherent confidence procedure

Cites Work

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• A concept of negative dependence using stochastic ordering
• Classes of orderings of measures and related correlation inequalities. II. Multivariate reverse rule distributions
• Some concepts of negative dependence
• Some probability inequalities for ordered MTP\(_2\) random variables: a proof of the Simes conjecture
• The control of the false discovery rate in multiple testing under dependency.
• Extensions of multiple testing procedures based on Simes' test
• Is the Simes improved Bonferroni procedure conservative?
• An improved Bonferroni procedure for multiple tests of significance

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