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Special Topics of Insurance Mathematics
(dt. Spezialthemen der Versicherungsmathematik)

Level, degree of commitment Specialization module, compulsory elective module
Forms of teaching and learning,
workload		 Lecture (2 SWS, mit integrierten recitation classen),
90 hours (30 h attendance, 60 h private study)
Credit points,
formal requirements		 3 CP
Course requirement(s): Successful completion of at least 50 percent of the points from the weekly exercises.
Examination type: Oral examination (individual examination) or written examination
Language,
Grading		 English,
The grading is done with 0 to 15 points according to the examination regulations for the degree program M.Sc. Business Mathematics.
Duration,
frequency		 One semester,
Regularly alternating with other specialization modules in Versicherungsmathematik
Person in charge of the module's outline Dr. Michael Schüte, Prof. Dr. Hajo Holzmann

Contents

Aspects of GLM modeling and use of credibility theory for rating purposes will be considered and analyzed as part of the course.


Qualification Goals

Building on the Personal Insurance Mathematics and Non-Life Insurance Mathematics modules, students will have become familiar with important special topics in actuarial mathematics.


Prerequisites

The following modules are required: either Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, either Elementary Probability and Statistics or Elementary Stochastics. The course builds on the basic knowledge of the modules Personenversicherungsmathematik (Personal Insurance Mathematics) and Non-Life Insurance Mathematics modules.


Applicability

Module imported from M.Sc. Business Mathematics.

It can be attended at FB12 in study program(s)

  • B.Sc. Mathematics
  • B.Sc. Business Mathematics
  • M.Sc. Mathematics
  • M.Sc. Business Mathematics

When studying B.Sc. Business Mathematics, this module can be attended in the study area Free Compulsory Elective Modules.


Recommended Reading

  • Dobson, A. J, A. G. Barnett, "An Introduction to Generalized Linear Models", 4th Ed. 2018, CRC Press
  • Bühlmann, H., A. Gisler, " A Course in Credibility Theory and its Applications", 2005, Springer
  • Donovan, Th. M., R. M Mickey, "Bayesian Statistics for Beginners", 2019, Oxford University Press



Please note:

This page describes a module according to the latest valid module guide in Winter semester 2023/24. Most rules valid for a module are not covered by the examination regulations and can therefore be updated on a semesterly basis. The following versions are available in the online module guide:

  • Winter 2016/17 (no corresponding element)
  • Summer 2018 (no corresponding element)
  • Winter 2018/19 (no corresponding element)
  • Winter 2019/20 (no corresponding element)
  • Winter 2020/21 (no corresponding element)
  • Summer 2021 (no corresponding element)
  • Winter 2021/22 (no corresponding element)
  • Winter 2022/23 (no corresponding element)
  • Winter 2023/24

The module guide contains all modules, independent of the current event offer. Please compare the current course catalogue in Marvin.

The information in this online module guide was created automatically. Legally binding is only the information in the examination regulations (Prüfungsordnung). If you notice any discrepancies or errors, we would be grateful for any advice.