Dr. Patrick Bastian
Research Assistant
Address:
Ruhr University Bochum
Department of Mathematics
Institute of Statistics
Building IB 2/69
Universitätsstrasse 150
D-44801 Bochum
Phone:
+49 234/32-23288
Publications
- Bastian, P., Dette, H., Heiny, J. (2024).
Testing for practically significant dependencies in high dimensions via bootstrapping maxima of U-statistics.
Annals of Statistics. - Bastian, P., Basu, R., Dette, H. (2024).
Multiple change point detection in functional data with applications to biomechanical fatigue data.
Annals of Applied Statistics. - Bastian, P., Dette, H., Koletzko, L. and Möllenhoff, K. (2023).
Comparing regression curves: an L1 point of view.
Annals of the Institute of Statistical Mathematics. - Bastian, P., Dette, H. and Koletzko, L. (2023)
Testing equivalence of multinomial distributions -- a constrained bootstrap approach.
Statistics and Probability Letters
Submitted
- Bastian, P., Dette, H. (2024).
Gradual changes in functional time series.
arXiv: 2407.07996 - Bastian, P. (2024).
Detecting relevant deviations from the white noise assumption for non-stationary time series.
arXiv: 2411.06909 - Bastian, P., Basu, R. and Dette, H. (2023).
Multiple change point detection in functional data with applications to biomechanical fatigue data.
arXiv: 2312.11108 - Bastian, P., Dette, H. and Heiny, J. (2022).
Testing for practically significant dependencies in high dimensions via bootstrapping maxima of U-statistics.
To appear: Annals of Statistics.
arXiv: 2210.17439
Theses
- Testing for practically significant dependencies in high dimensions via bootstrapping.
Doctoral Thesis Mathematik, Ruhr-Universität Bochum, 2024
Simultan Masterthesis via Fast-Track
Prof. Dr. Holger Dette - On the covariance and continuity structure of Gauss-Markov processes.
Bachelor Thesis Mathematics, Ruhr-Universität Bochum, 2018
