Before revision:  We establish consistency and weak convergence of nonparametric plug-in estimates of the test statistics and show how they can be used to conduct uniform inference. Because the limiting distribution of sample value functions is not generally tractable, to conduct practical inference, we develop detailed resampling techniques that combine a bootstrap procedure with estimates of the directional derivatives.
After revision:  We establish consistency and weak convergence of nonparametric plug-in estimates of the test statistics . For practical inference, we develop detailed resampling techniques that combine a bootstrap procedure with estimates of the directional derivatives.