9 citations · 9 across the 5 of their papers we have counts for
5 papers
On the supremum and its location of the standardized uniform empirical process
Dietmar Ferger
We show that the maximizing point and the supremum of the standardized uniform empirical process converge in distribution. Here, the limit variable (Z, Y ) has independent componen…
Minimizers of U-processes and their domains of attraction
Dietmar Ferger
In this paper, we study the minimizers of U-processes and their domains of attraction. U-processes arise in various statistical contexts, particularly in M-estimation, where estima…
On semi-continuity and continuity of the smallest and largest minimizing point of real convex functions with applications in probability and statistics
Dietmar Ferger
We prove that the smallest minimizer s(f) of a real convex function f is less than or equal to a real point x if and only if the right derivative of f at x is non-negative. Similar…
Exact and asymptotic goodness-of-fit tests based on the maximum and its location of the empirical process
Dietmar Ferger
The supremum of the standardized empirical process is a promising statistic for testing whether the distribution function of i.i.d. real random variables is either equal to a g…
Weak convergence of the empirical process and the rescaled empirical distribution function in the Skorokhod product space
Dietmar Ferger, Daniel Vogel
We prove the asymptotic independence of the empirical process and the rescaled empirical distribution function ,…