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Non-Life Insurance: Mathematics and Statistics
Last Updated: 2026-02-05 16:15:24
Abstract
The lecture aims at providing a basis in non-life insurance mathematics which forms a core subject of actuarial science. It discusses collective risk modeling, individual claim size modeling, approximations for compound distributions, ruin theory, premium calculation principles, tariffication with generalized linear models and neural networks, credibility theory, claims reserving and solvency.
Objective
The student is familiar with the basics in non-life insurance mathematics and statistics. This includes the basic mathematical models for insurance liability modeling, pricing concepts, stochastic claims reserving models and ruin and solvency considerations.
Content
The following topics are treated: Collective Risk Modeling Claim Counts Models Individual Claim Size Modeling Censoring and Truncation Approximations for Compound Distributions Ruin Theory in Discrete Time Premium Calculation Principles Tariffication Generalized Linear Models and Neural Networks Bayesian Models and Credibility Theory Claims Reserving Solvency Considerations
Resources
Lecture Notes
M.V. Wüthrich, Non-Life Insurance: Mathematics & Statisticshttp://ssrn.com/abstract=2319328
Literature
M.V. Wüthrich, M. Merz. Statistical Foundations of Actuarial Learning and its Applications https://link.springer.com/book/10.1007/978-3-031-12409-9
Learning Materials (Links)
- Main link
- Exercises
- Literature
- Non-Life Insurance: Mathematics and Statistics
General Information
- Language
- English
- Levels
- BSC , DR , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Non-Life Insurance: Mathematics and Statistics |
|
4 h weekly |
| exercise | Non-Life Insurance: Mathematics and Statistics |
|
1 h weekly |
Offered In
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Actuary SAA Education at ETH Zurich (Further pieces of information are available at Prof. M. Wüthrich's secretariat, HG F 42.)
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Selection: Financial and Insurance Mathematics (In the Bachelor's programme in Mathematics 401-3913-01L Mathematical Foundations for Finance is eligible as an elective course, but only if 401-3888-00L Introduction to Mathematical Finance isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office ( ) after having received the credits.)
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Selection: Financial and Insurance Mathematics (In the Master's programme in Mathematics (direction Mathematics resp. Applied Mathematics 401-3913-01L Mathematical Foundations for Finance is eligible as an elective course resp. applied elective course, but only if 401-3888-00L Introduction to Mathematical Finance isn't recognised for credits (neither in the Bachelor's nor in the Master's programme). For the category assignment take contact with the Study Administration Office ( ) after having received the credits.)
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Quantitative Finance Master (see Students in the Joint Degree Master's Programme "Quantitative Finance" must book University of Zurich modules directly at the University of Zurich. Those modules are not listed here.)
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MF (Mathematical Methods in Finance) (For possible additional course offerings see )
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