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math.ST2026
Frequency Domain Bootstrap for Functional Time Series
Daniel Rademacher, Jens-Peter Kreiss, Efstathios Paparoditis
A frequency domain bootstrap procedure for functional time series is proposed and applied to the class of spectral mean operators. The procedure works by first generating independe…
math.ST2024
Two-sample tests for relevant differences in persistence diagrams
Johannes Krebs, Daniel Rademacher
We study two-sample tests for relevant differences in persistence diagrams obtained from --approximable data and . To this end, we co…
math.ST2023
On the stability of filtration functions for dependent data with applications to break detection
Johannes Krebs, Daniel Rademacher
In this paper, we study the stability of commonly used filtration functions in topological data analysis under small perturbations of the underlying nonrandom point cloud. Relying…