Abstract
A powerful test procedure is proposed for multiple hypotheses for the false discovery rate (FDR) control. The proposed procedure is a weighted p-value procedure which explores false null hypotheses information. It is theoretically shown to control the FDR and be more powerful than the widely used plug-in BH procedure. When there are unknown parameters estimated from the data, the asymptotic properties of the proposed procedure are discussed. The extensive simulation studies further verify the theoretical results. A real data is analyzed to illustrate the proposed method.
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