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)(0)234 / 32-23185

E-Mail:
marius.kroll(at)rub.de

Office hours

by appointment

 

Research Interests

  • U and V statistics
  • Bootstrap
  • Short-term processes
  • Nonparametric statistics

Publications

Submitted

  • Kroll, M. (2024+)
    Asymptotic Normality of U-Statistics is Equivalent to Convergence in the Wasserstein Distance.
    arXiv: 2405.06477
  • 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

Talks

  • 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.

Miscellaneous

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

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