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Asymptotic FDR control under weak dependence: A counterexample

Veronika Gontscharuk and Helmut Finner

Statistics & Probability Letters, 2013, vol. 83, issue 8, 1888-1893

Abstract: Some multiple tests controlling the false discovery rate (FDR) under independence also control the FDR under weak dependence if the proportion of rejected null hypotheses is asymptotically larger than zero. We show that weak dependence is not sufficient for FDR control if the proportion of rejected nulls converges to zero with positive probability.

Keywords: Weak dependence; False discovery rate; Family wise error rate; Dependent p-values; Linear step-up test; Bonferroni test (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2013.04.025

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