A positive false discovery rate convergence result

Igor Melnykov

Research output: Contribution to journalArticle

Abstract

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
Pages (from-to)4239-4246
Number of pages8
JournalCommunications in Statistics - Theory and Methods
Volume42
Issue number23
DOIs
Publication statusPublished - Dec 2 2013
Externally publishedYes

Fingerprint

False Positive
Convergence Results
Proportion
Converge
Rejection
Significance level
Uniform convergence
Null hypothesis
Zero

Keywords

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

ASJC Scopus subject areas

  • Statistics and Probability

Cite this

A positive false discovery rate convergence result. / Melnykov, Igor.

In: Communications in Statistics - Theory and Methods, Vol. 42, No. 23, 02.12.2013, p. 4239-4246.

Research output: Contribution to journalArticle

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