A copula-based analysis of false discovery rate control under dependence assumptions
The false discovery rate (FDR) first introduced in Benjamini and Hochberg (1995) is a powerful approach to multiple testing. Benjamini and Yekutieli (2001) proved that the original procedure developed for independent test statistics controls the FDR also for positively dependent test statistics. Furthermore, Yekutieli (2008) showed that a modification of the original procedure can be used even in the presence of non-positively regression dependent test statistics. In this paper we elaborate on Yekutieli (2008) and introduce suitable classes of copulas to identify the conditions under which the dependence properties needed to control the FDR are satisfied.
|Date of creation:||19 May 2012|
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- Lai, C. D. & Xie, M., 2000. "A new family of positive quadrant dependent bivariate distributions," Statistics & Probability Letters, Elsevier, vol. 46(4), pages 359-364, February.
- Müller, Alfred & Scarsini, Marco, 2005.
"Archimedean copulæ and positive dependence,"
Journal of Multivariate Analysis,
Elsevier, vol. 93(2), pages 434-445, April.
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