A positive false discovery rate convergence result

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The positive false discovery rate (pFDR) is the average proportion of false rejections given that the overall number of rejections is greater than zero. Assuming that the proportion of true null hypotheses, proportion of false positives, and proportion of true positives all converge pointwise, the pFDR converges to a continuous limit uniformly over all significance levels. We are showing that the uniform convergence still holds given a weaker assumption that the proportion of true positives converges in L 1.

Original languageEnglish (US)
Pages (from-to)4239-4246
Number of pages8
JournalCommunications in Statistics - Theory and Methods
Issue number23
StatePublished - Dec 2 2013
Externally publishedYes


  • Differentially expressed genes
  • FDR
  • Microarray data
  • Multiple testing
  • pFDR


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