# Topics in Non-Life Insurance (Skade2)

### Course content

Various distributions that are useful in non-life insurance
The impact of deductibles on the insurance premium calculations
Maximum likelihood methods, including the adjustment for deductibles. Also use of the delta method.
Asymptotic properties of the estimators
Model selection methods
Some linear and generalized linear model theory

Course description: Distributions in insurance, deductibles, maximum likelihood estimation, model choice, non parametric method, linear and generalized linear models.

Education

MSc Programme in Actuarial Mathematics
MSc Programme in Mathematics-Economics

Learning outcome

Knowledge:

Understand basic claim number and claim frequency models.

Understand the impact of deductibles, and how to compensate for this in modelling.

Know how to use maximum likelihood to fit insurance data.

Have some insight into the art of picking relevant and useful models for the data.

Know something about the consequences of picking a poor model

A good understanding of linear and generalized linear models, and the difference between continuous and discrete models.

Know how to fit nonstandard models, such as Pareto regression with deductibles.

Skills:

Be able to take raw data and prepare for statistical analysis.

Be able to fit and select a meaningful model among a variety of alternatives. This includes picking good distributions, good covariates and avoid overfitting.

Run, and if necessary program in R, the necessary calculations.

Competences:

Be able to go from raw data to practical and useful statistical models. A typical application is in pricing insurance products.

5 hours of lectures and 2 hours of excercises each week for 7 weeks.

Lecture notes

Bachelor in insurance mathematics or similar.

Academic qualifications equivalent to a BSc degree is recommended.

Collective
ECTS
7,5 ECTS
Type of assessment
Written examination, 3 hours under invigilation
Type of assessment details
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The course has been selected for ITX exam.
See important information about ITX-exams at Study Information, menu point: Exams -> Exam types and rules -> Written on-site exams (ITX).
Aid
All aids allowed

As the exam is an ITX-exam, the University will make computers available to students at the exam. Students are therefore not permitted to bring their own computers, tablets, calculators, or mobile phones.

Marking scale
Censorship form
External censorship
##### Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.

Single subject courses (day)

• Category
• Hours
• Lectures
• 35
• Preparation
• 114
• Theory exercises
• 14
• Project work
• 40
• Exam
• 3
• English
• 206

### Kursusinformation

Language
English
Course number
NMAA06068U
ECTS
7,5 ECTS
Programme level
Full Degree Master
Duration

1 block

Placement
Block 4
Schedulegroup
A
Capacity
No limit
The number of seats may be reduced in the late registration period
Studyboard
Study Board of Mathematics and Computer Science
##### Contracting department
• Department of Mathematical Sciences
##### Contracting faculty
• Faculty of Science
##### Course Coordinator
• Jostein Paulsen   (7-6c717576676b70426f63766a306d7730666d)
Phone+45 35 32 07 37 office: 04.3.19
Saved on the 10-11-2022

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