General information
Examination dates Prof. Redenbach:
July 24th, 2023
August 2nd, 2023
August 3rd, 2023
September 8th, 2023
September 14th, 2023
September 18th, 2023
September 29th, 2023
Oktober 11th, 2023
Oktober 12th, 2023
Oktober 13th, 2023
Examination dates Dr. Stockis:
July 25th, 2023
August 16th, 2023
September 18th, 2023
Oktober 12th, 2023
Please register yourself in person at the Dean's Office with Heike Sternike (Building 48, 511). Please bring your student ID with you.
Below are the lectures offered by our group in the winter semester.
If you would like to write a Bachelor's or Master's thesis in Statistics, please contact Prof. Redenbach.
Mathematical Statistics
Contents
- Asymptotic analysis of M-estimators, especially of Maximum-Likelihood-estimators
- Bayes and Minimax-estimators
- Likelihood-ratio-tests: asymptotic analysis and examples (t-test, chi²-goodness-of-fit-test)
- Glivenko-Cantelli-theorem, Kolmogorov-Smirnov-test
- Differentiable statistic functionals and examples of applications (derivation of asymptotic results, robustness)
- Resampling methods on the basis of Bootstrap.
Image Analysis for stochastic structures
Contents
Processing and statistical analysis of three-dimensional image data, in particula
- Random closed sets and their characteristics
- Discretisation and three-dimensional connectivity
- Mathematical morphology</il>
- Methods of image processing: filtering, segmentation, Euclidean distance transform, labelling, watershed transform
- Estimates of geometric characteristics for random closed sets from image data
Seminar Topological Data Analysis
Contents
The seminar will start with an introduction to topological data analysis (TDA). No prior knowledge on TDA is required. Then, we will focus on statistical methods based on TDA in various fields of application.
Registration via URM.
The first meeting for setting up the schedule will take place in the second week of the lecture period.
The Reading Course serves as preparation for the Master's thesis. The assignment of topics takes place individually. Please contact Prof. Redenbach if you would like to take a Reading Course in Statistics.