401-3925-00L  Non-Life Insurance: Mathematics and Statistics

SemesterAutumn Semester 2020
LecturersM. V. Wüthrich
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
401-3925-00 VNon-Life Insurance: Mathematics and Statistics4 hrs
Mon16:15-18:00HG D 7.1 »
Tue13:15-15:00HG D 7.1 »
M. V. Wüthrich
401-3925-00 UNon-Life Insurance: Mathematics and Statistics1 hrs
Tue15:15-16:00HG D 7.1 »
M. V. Wüthrich

Catalogue data

AbstractThe 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.
ObjectiveThe 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.
ContentThe following topics are treated:
Collective Risk Modeling
Individual Claim Size Modeling
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
Lecture notesM. V. Wüthrich, Non-Life Insurance: Mathematics & Statistics
Link
Prerequisites / NoticeThe exams ONLY take place during the official ETH examination period.

This course will be held in English and counts towards the diploma of "Aktuar SAV". For the latter, see details under Link.

Prerequisites: knowledge of probability theory, statistics and applied stochastic processes.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits8 credits
ExaminersM. V. Wüthrich
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationoral 30 minutes
Additional information on mode of examinationLanguage of examination: English or German / Prüfungssprache: Deutsch oder Englisch
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

 
Main linkExercises
Only public learning materials are listed.

Groups

401-3925-00 UNon-Life Insurance: Mathematics and Statistics
GroupG-01
Tue15:15-16:00HG D 7.1 »

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Data Science MasterInterdisciplinary ElectivesWInformation
Mathematics (General Courses)Actuary SAA Education at ETH ZurichWInformation
Mathematics BachelorSelection: Financial and Insurance MathematicsWInformation
Mathematics MasterSelection: Financial and Insurance MathematicsWInformation
Quantitative Finance MasterMathematical Methods for FinanceWInformation