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

E-Mail:
patrick(dot)bastian(at)ruhr-uni-bochum(dot)de

Office hours

by appointment

 

Research Interests

  • High dimensional statistics
  • Empirical process theory
  • Functional data

Publications

Submitted

  • 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
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