Dr. Marius Kroll

• Kroll, M. (2022).
  Asymptotic Behaviour of the Empirical Distance Covariance for Dependent Data.
  Journal of Theoretical Probability
  35, 1226-1246. DOI: 10.1007/s10959-021-01073-w
  arXiv: 2007.08936 

Submitted

• Dette, H. and Kroll, M. (2023+).
  A Simple Bootstrap for Chatterjee's Rank Correlation. [Preprint]
  arxiv.org/abs/2308.01027
• 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

• 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.

Since October 2023 I am a member of the RUB Research School Executive Board.