Dr. Marius Kroll
Research Assistant
Address:
Ruhr University Bochum
Department of Mathematics
Institute of Statistics
Building IB 2/89
Universitätsstrasse 150
D-44801 Bochum
Phone:
+49 234/32-23185
E-Mail:
marius.kroll(at)rub.de
Publications
- Dette, H. and Kroll, M. (2024+)
Detecting practically significant dependencies in infinite dimensional data via distance correlations.
arXiv: 2411.16177 - Dette, H. and Kroll, M. (2024)
A Simple Bootstrap for Chatterjee's Rank Correlation.
Biometrika
DOI: 10.1093/biomet/asae045 - Kroll, M. (2022).
Asymptotic Behaviour of the Empirical Distance Covariance for Dependent Data.
Journal of Theoretical Probability, 35(2), 1226-1246
DOI: 10.1007/s10959-021-01073-w
arXiv: 2007.08936
Submitted
- Kroll, M. (2024+)
Asymptotic Normality of Chatterjee's Rank Correlation.
arXiv: 2408.11547 - Kroll, M. (2024+)
Asymptotic Normality of U-Statistics is Equivalent to Convergence in the Wasserstein Distance.
arXiv: 2405.06477 - Betken, A., Dehling, D. and Kroll, M. (2021+).
Block Bootstrapping the Empirical Distance Covariance. [Preprint]
arXiv: 2112.14091
Theses
- The Empirical Distance Covariance of Weakly Dependent Data.
Doctoral Thesis Mathematics, Ruhr-Universität Bochum, 2023
Prof. Dr. Herold Dehling - Die Distance Correlation im R^n und in separablen metrischen Räumen.
Master Thesis Mathematics, Ruhr-Universität Bochum, 2019
Prof. Dr. Herold Dehling - Pollards zentraler Grenzwertsatz.
Bachelor Thesis Mathematics, Ruhr-Universität Bochum, 2017
Prof. Dr. Angelika Rohde
Talks
- Detecting Practically Significant Dependencies in Infinite Dimensional Data.
Bernoulli-ims 11th World Congress in Probability and Statistics, Bochum
12. - 16. August 2024. - Testing Independence of Mixing Time Series Using the Distance Covariance. [eingeladen]
CMStatistics 2023, Berlin
16. - 18. Dezember 2023. - An Independent Block Bootstrap for the Distance Covariance and a Bound for the Wasserstein Distance. [eingeladen].
Technische Universität Braunschweig
3. Mai 2023. - A Test for Independence of Time Series Based on the Distance Covariance.
German Probability and Statistics Days 2023
Essen, 7. - 10. März 2023.
