Characterization of Bayes procedures for multiple endpoint problems and inadmissibility of the step-up procedure

DOI10.1214/009053604000000986zbMath1066.62010arXivmath/0504506OpenAlexW2038086271MaRDI QIDQ1781155

Arthur Cohen, Harold B. Sackrowitz

Publication date: 23 June 2005

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504506

zbMATH Keywords

inadmissibilitySchur convexityintraclass correlationstep-up procedurefinite action problem

Mathematics Subject Classification ID

Bayesian problems; characterization of Bayes procedures (62C10) Admissibility in statistical decision theory (62C15) Complete class results in statistical decision theory (62C07)

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A smooth version of the step-up procedure for multiple tests of hypotheses ⋮ More on the inadmissibility of step-up ⋮ Randomized \(p\)-values for multiple testing of composite null hypotheses ⋮ Some permutation symmetric multiple hypotheses testing rules under dependent setup ⋮ Admissible, consistent multiple testing with applications including variable selection ⋮ Multiple testing in ordinal data models ⋮ Decision theory results for one-sided multiple comparison procedures ⋮ A new multiple testing method in the dependent case

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