Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-61-19-K-7

Non-Life Insurance Mathematics (4V+2U, 9.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
-	K	Lecture with exercise classes (V/U)	9.0 CP		186 h
4	V	Lecture		56 h
2	U	Exercise class (in small groups)		28 h
(4V+2U)			9.0 CP	84 h	186 h

Basedata

SWS	4V+2U
CP, Effort	9.0 CP = 270 h
Position of the semester	1 Sem. in WiSe
Level	[7] Master (Advanced)
Language	[EN] English
Lecturers	Korn, Ralf, Prof. Dr. (PROF \| DEPT: MAT) Sass, Jörn, Prof. Dr. (PROF \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-STO] Stochastics/Statistics/Financial Mathematics
Additional informations
Livecycle-State	[NORM] Active

Contents

Convolution and transforms,
Claim size distributions,
Individual risk model,
Collective risk models:
- Claim number process,
- Poisson process,
- Renewal processes,
- Total claim size distribution,
Risk Process,
Ruin theory and ruin probabilities,
Premium calculation,
Experience rating:
- Bayes estimation,
- Linear Bayes estimation (Bühlmann and Bühlmann-Straub model),
Reserves,
Reinsurance and risk sharing.

Literature

H. Bühlmann: Mathematical Methods in Risk Theory,
R. Kaas, M. Goovaerts, J. Dhaene, M. Denuit: Modern Actuarial Risk Theory,
T. Mikosch: Non-Life Insurance: An Introduction with the Poisson Process,
E. Straub: Non-Life Insurance Mathematics.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-61-19-K-7]

Module	Name	Context
[MAT-61-19-M-7]	Non-Life Insurance Mathematics	P: Obligatory	4V+2U, 9.0 LP