the variables. The limiting null distribution of the test statistic is derived and is shown to be the extreme value …

rate. A key feature of our approach is the test statistics null distribution (rather than data generating null distribution … condition for a null distribution under which single-step common-quantile and common-cut-off procedures asymptotically control … pivotality. Inspired by this general characterization of a null distribution, we then propose as an explicit null distribution …

statistics null distribution (rather than data generating null distribution) for deriving cut-offs for these test statistics (i … generating distribution, we identify an asymptotic domination condition for a null distribution under which the step-down maxT … null distribution the asymptotic distribution of the vector of null value shifted and scaled test statistics. Step …

-statistics. Re-sampling based multiple testing (Westfall and Young, 1993) involves sampling from a joint null distribution of the … this joint null distribution for the test-statistics. A generally asymptotically valid null distribution avoiding the need … null hypotheses about general real valued parameters. This null distribution was generalized in Dudoit, vanderLaan, Pollard …