2 papers
math.ST2025
Support estimation in high-dimensional heteroscedastic mean regression
Philipp Hermann, Hajo Holzmann
A current strand of research in high-dimensional statistics deals with robustifying the available methodology with respect to deviations from the pervasive light-tail assumptions.…
math.ST2024
From dense to sparse design: Optimal rates under the supremum norm for estimating the mean function in functional data analysis
Max Berger, Philipp Hermann, Hajo Holzmann
We derive optimal rates of convergence in the supremum norm for estimating the Hölder-smooth mean function of a stochastic process which is repeatedly and discretely observed with…