Dr. Marius Kroll

• 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 

Eingereicht

• Dette, H. and Kroll, M. (2024+)
  Detecting practically significant dependencies in infinite dimensional data via distance correlations.
  arXiv: 2411.16177
• 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, H. & Kroll, M. (2021+)
  Block Bootstrapping the Empirical Distance Covariance.
  arXiv: 2112.14091 

Abschlussarbeiten

• The Empirical Distance Covariance of Weakly Dependent Data.
  Dissertation Mathematik, Ruhr-Universität Bochum, 2023
  Prof. Dr. Herold Dehling
• Die Distance Correlation im \(\mathbb{R}^n\) und in separablen metrischen Räumen.
  Masterarbeit Mathematik, Ruhr-Universität Bochum, 2019
  Prof. Dr. Herold Dehling
• Pollards zentraler Grenzwertsatz.
  Bachelorarbeit Mathematik, Ruhr-Universität Bochum, 2017
  Prof. Dr. Angelika Rohde

• 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.

• Seit Oktober 2023 bin ich Mitglied des Executive Boards der RUB Research School.
• Träger des Ruth Massenberg-Preises für die beste mathematische Dissertation 2023