Statistics Group


General information

Below are the lectures offered by our working group in the winter semester.

If you would like to write a Bachelor's or Master's thesis in Statistics, please contact Prof. Redenbach.

Important links

  • KIS: dates of the courses
  • URM: registration open till 31 October 2019.
  • OpenOLAT: course materials and further informations (access code will be given in the first lecture)

Lectures in winter term

Below are the lectures offered by our working group in the winter term 2019/2020.

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.

Contact time

4 SWS / 60 h Lecture
2 SWS / 30 h  Tutorials

Prerequisites (Contents)

The lecture "Stochastic Methods" from the Bachelor degree program in mathematics.

Frequnecy of occurence

The lecture is given once per year, in the winter term.

[Link to KIS]

[Link to OLAT]

Tutorials for the lecture:

[Link to KIS]

Spatial Statistics

Contents

  • Spatial point processes (in R² and R³)
  • Point process models (Poisson process, hard-core and cluster processes, Gibbs processes) and their simulation
  • Statistical methods for point processes
  • Marked point processes and particle processes

Contact time

2 SWS / 30 h Lectures

Prerequisites (Contents)

The lecture "Stochastic Methods" from the Bachelor degree program in mathematics.

Frequnecy of occurence

The lecture is irregularly given.

[Link to KIS]

[Link to OLAT]

Seminar

Our working group offers the following seminars in the winter term 2019/2020:

Seminar Random Tessellations

Contents

Tessellations of space appear in many natural structures such as honeycombs, plant cells or foams. In this seminar we will study various models for random tessellations and their basic characteristics.These models can be used to describe the structure of materials or tissue. However, they also play a role in location planning for modelling road systems or influence zones of supermarkets or restaurants.


Interested?
Please register by e-mail to
redenbach@mathematik.uni-kl.de

Contact time

2 SWS / 30 h Seminar

Frequnecy of occurence

The lecture is irregularly given.

 [Link to KIS]

 [Link to OLAT]

Internships

Subjects for internships are presented at the Fachpraktikumsbörse at the end of each semester.

Reading Course

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.

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