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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.ST2023
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…