5 papers
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…
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…
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…
Weak convergence of probability measures on hyperspaces with the upper Fell-topology
Dietmar Ferger
Let E be a locally compact second countable Hausdorff space and F the pertaining family of all closed sets. We endow F respectively with the Fell-topology, the upper Fell topology…
Supremal inequalities for convex M-estimators with applications to complete and quick convergence
Dietmar Ferger
We consider M-estimators and derive supremal-inequalities of exponential-or polynomial type according as a boundedness- or a moment-condition is fulfilled. This enables us to deriv…