FDR-CONTROLLING STEPWISE PROCEDURES AND THEIR FALSE NEGATIVES RATES

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On the Benjamini-Hochberg method (2006, background): “For other results on Π3,m and a definition of unbiasedness we refer the reader to [16].”
Some Results on the Control of the False Discovery Rate under Dependence (2007, background): “Genovese & Wasserman (2002) and independently Sarkar (2004) also introduce the falsenegatives rate (FNR), a Type II error rate defined as the dual of the FDR. Benjamini & Hochberg (1997) and Genovese et al. (2007) describe algorithms that allow to control the FDR when a weight is assigned to each…”
STEPUP PROCEDURES CONTROLLING GENERALIZED FWER AND GENERALIZED FDR (2007, background): “The MTP2 property is a positive dependence property that holds for many multivariate distributions arising in multiple testing, for example, multivariate normal with a common nonnegative correlation, certain mixtures of independent random variables, and so on; see, for example, [14, 15, 16, 19].”
On the Simes inequality and its generalization (2008, methodology): “Most importantly, it is closely linked to the inequality establishing the false discovery rate (FDR) control of the Benjamini and Hochberg [1] procedure (Benjamini and Yekutieli [2] and Sarkar [23, 24]), which as a FDR procedure has received the most attention so far in the multiple testing literatu”