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Please note that this page is no longer updated.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 Mathematical Statistics in degree program Bachelor Mathematik 2013 | |
|---|---|
| module number | 1490 |
| examination number | 2400078 |
| department | Department of Mathematics and Natural Sciences |
| ID of group | 241B (Stochastics) |
| module leader | Prof. Dr. Thomas Hotz |
| term | winter term only |
| language | Deutsch |
| credit points | 4 |
| on-campus program (h) | 34 |
| self-study (h) | 86 |
| 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 | Analysis 1-4, Lineare Algebra 1-2, Wahrscheinlichkeitsrechnung |
| learning outcome | Die Studierenden sind unter Verwendung geeigneter Software in der Lage, erhobene Daten statistisch zu beschreiben, das zugehörige Zufallsexperiment sowie die angewandten Fragestellungen mathematisch geeignet zu modellieren und die erforderliche Datenanalyse durchzuführen, also insbesondere unbekannte Parameter zu schätzen, unbeobachtete Zufallsvariablen vorherzusagen sowie Hypothesen zu testen, wobei sie die auftretenden stochastischen Unsicherheiten zu quantifizieren vermögen. |
| content | beschreibende Statistik, statistisches Modell, Punktschätzer und ihre Eigenschaften, Momenten- und Maximum-Likelihood-Schätzer, Asymptotik, Konfidenzbereiche, Vorhersagen, Hypothesentests |
| media of instruction and technical requirements for education and examination in case of online participation | Tafel, Skript, Aufgaben, Software |
| literature / references | Bickel, P. J. and Doksum, K. A. (1996). Mathematical Statistics – Basic Ideas and Selected Topics, Vol. 1, 2nd edn, Prentice Hall, Upper Saddle River, NJ. |
| evaluation of teaching | |