Mathematical Statistics

The objective of the course is to introduce the basic principles and methods of mathematical statistics and their applications in a series of introductory lectures and laboratories. In the second half of the semester, laboratory exercises will be used to illustrate the applications of the methods using a statistical software package (e.g. R). Besides learning how to use the software system, students will be confronted with the usefulness of the material through complex statistical analysis of data matrices.

3 lectures per week and 1 labratory exercise per week.

Probability, mathematical analysis, linear algebra

Requirements: A successful midterm test (at least 40%) and homework assigngment to be handed in by the end of the semester  are required for a signature. The homework is a complex statistical analysis on a data matrix. In addition to the evaluation of the resulting tables and graphs, the homework must include a mathematical description of the method used. The examination is oral and based on a given set of topics. In addition to the oral answer (50%), the mark will include the midterm result (30%) and the homework result (20%). Additional possibilities: During the semester, there is a retake for the midterm, which may be used to complete the missed midterm or to improve the result of an unsuccessful midterm or to improve the result of a successfully completed midterm. If someone retakes an already  written midterm, the new mark will be valid - even if it is worse than the previous one. If a person attends a retake, they are considered to have attempted to write the test. If someone attempts to correct a successful midterm but scores less than 40% on the retake, they will only lose the points above 40% of their original midterm score (i.e. they will carry forward 40%). At least 70% of the labs, i.e. at least 5 out of 7 sessions, must be attended, no make-ups are possible. The homework may be submitted late during the  make-up week for a special procedure fee.