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On the false discovery proportion convergence under Gaussian equi-correlation

Statistics Theory 2010-07-26 v1 Statistics Theory

Abstract

We study the convergence of the false discovery proportion (FDP) of the Benjamini-Hochberg procedure in the Gaussian equi-correlated model, when the correlation ρm\rho_m converges to zero as the hypothesis number mm grows to infinity. By contrast with the standard convergence rate m1/2m^{1/2} holding under independence, this study shows that the FDP converges to the false discovery rate (FDR) at rate {min(m,1/ρm)}1/2\{\min(m,1/\rho_m)\}^{1/2} in this equi-correlated model.

Cite

@article{arxiv.1007.1298,
  title  = {On the false discovery proportion convergence under Gaussian equi-correlation},
  author = {Sylvain Delattre and Etienne Roquain},
  journal= {arXiv preprint arXiv:1007.1298},
  year   = {2010}
}
R2 v1 2026-06-21T15:45:49.781Z