3 papers
math.FA2026
Sobolev-Mercer Expansions and Applications to Stochastic Processes
Daniel Constantin Rademacher
We establish a fundamental extension of Mercer's celebrated theorem by introducing a class of higher-order kernel operators acting on Sobolev spaces , where $Θ\subset \math…
stat.ME2022
Statistical inference for intrinsic wavelet estimators of SPD matrices in a log-Euclidean manifold
Johannes Krebs, Daniel Rademacher, Rainer von Sachs
In this paper we treat statistical inference for an intrinsic wavelet estimator of curves of symmetric positive definite (SPD) matrices in a log-Euclidean manifold. This estimator…
math.ST2020
Testing Equality of Spectral Density Operators for Functional Processes
Anne Leucht, Efstathios Paparoditis, Daniel Rademacher +1
The problem of comparing the entire second order structure of two functional processes is considered and a -type statistic for testing equality of the corresponding spectral d…