Probability Theory and Mathematical Statistics - Interactive curriculae of TU Ilmenau
The interactive curriculae provide information on the degree programmes offered by the TU Ilmenau.
Please refer to the respective study and examination rules and regulations for the legally binding curricula (Annex Curriculum).
You can find all details on planned lectures and classes in the course catalogue.
Please note that this page is no longer updated. All modules and study plans from PO version 2021 onwards (Bachelor and Master study programs) are now available on the Campus Portal.
| module properties Probability Theory and Mathematical Statistics in degree program Bachelor Data Science 2025 | |
|---|---|
| module number | 201317 |
| examination number | 2400924 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 2412 (Probability Theory and Mathematical Statistics) |
| module leader | Prof. Dr. Thomas Hotz |
| term | winter term only |
| language | Englisch |
| credit points | 5 |
| on-campus program (h) | 45 |
| self-study (h) | 105 |
| obligation | obligatory module |
| exam | oral examination performance, 30 minutes |
| details of the certificate | |
| link to Moodle course | |
| teacher | |
| signup details for alternative examinations | |
| maximum number of participants | |
| previous knowledge and experience | Calculus; applied linear algebra; applied probability theory and statistics |
| learning outcome | Students have a working knowledge of measure and integration theory which they can apply to problems in probabiltiy theory. They are able to model random experiments, and to analyse them both theoretically and by simulation. They are familiar with the foundations of mathematical statistics, based on which they can develop and analyse methods for statistical inference, in particular using asymptotics. |
| content | Summary of measure and integration theory; probabilistic modelling and limit theorems; basic mathematical, in particular asymptotic, statistics |
| media of instruction and technical requirements for education and examination in case of online participation | Skript, Jupyter Notebooks, Folien, Tafel, Software |
| literature / references | Krengel, U.: Einführung in die Wahrscheinlichkeitstheorie und Statistik. 4. Aufl., vieweg, 1998. |
| evaluation of teaching | |