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math.PR2025
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…
math.PR2023
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…
math.PR2015★ 9 cited
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 ,…