3 papers
math.ST2026
Tests for the mean of high-dimensional data
Dietmar Ferger
We consider the problem of testing the mean of high-dimensional data when the dimension may grow without explicit rate restrictions relative to the sample size. The proposed proced…
math.ST2025
On a transform of the Vincze-statistic and its exact and asymptotic distribution
Dietmar Ferger
We motivate a new nonparametric test for the one-sided two-sample problem, which is based on a transform T of the Vincze-statistic (R,D). The exact and asymptotic distribution of T…
math.PR2025
Epi-convergence in distribution of normal integrands with applications to sets of epsilon-optimal solutions
Dietmar Ferger
We derive necessary and sufficient conditions for epi-convergence in distribution of normal integrands. As a basic tool for the proof a new characterisation for distributional conv…