Spring 2022 - STAT 490 D100

Selected Topics in Probability and Statistics (3)

Advanced Actuarial Models

Class Number: 6949

Delivery Method: In Person


  • Course Times + Location:

    Mo 8:30 AM – 10:20 AM
    AQ 5017, Burnaby

    Th 8:30 AM – 9:20 AM
    AQ 5046, Burnaby

  • Exam Times + Location:

    Apr 25, 2022
    3:30 PM – 6:30 PM
    WMC 2530, Burnaby

  • Prerequisites:

    Dependent on the topic covered.



Topics in areas of probability and statistics not covered in the regular undergraduate curriculum of the department.


Course Outline:

The main objective of this course is to study advanced actuarial models for general insurance and for mortality rates, and to introduce some methods which are relevant to actuarial practice in property and casualty (P&C) insurance and in mortality projections. The topics covered by this course are the following:

  1. Aggregate claims models.
  2. Models for incurred but not reported (IBNR) claims.
  3. Bonus-Malus systems in automobile insurance.
  4. Mortality models and their application.
  5. GLM for claim frequency and severity, and for aggregate claims; Classical risk process and ruin theory; Tweedie distributions; Extreme value theory for claim severities (if time allows).


  • Assignments 30%
  • Project 30%
  • Presentation 10%
  • Exam 30%


Above grading is subject to change.



Stochastic Claims Reserving Methods in Insurance, 2008, M.V. Wüthrich and M. Merz; John Wiley & Sons, Ltd.

Actuarial Modelling of Claim Counts, 2007, M. Denuit, X. Marechal, S. Pitrebois, and J.-F. Walhin; John Wiley & Sons, Ltd.

Loss Models, 5th Edition, 2019, S.A. Klugman, H.H. Panjer, and G.E. Willmot; John Wiley & Sons, Ltd.

Modern Actuarial Risk Theory, 2001, R. Kaas, M. Goovaerts, J. Dhaene and M. Denuit; Publisher: Kluwer Academic Publishers.

A Course in Credibility Theory and its Application, 2005, H. Bühlmann and A. Gisler; Springer.

Stochastic Processes for Insurance and Finance, 2000, T. Rolski, H. Schmidli, V. Schmidt, and J. Teugels; John Wiley & Sons, Ltd.

Bonus-Malus Systems in Automobile Insurance, 1995, J. Lemaire, Kluwer Academic Publishers.

Insurance Risk and Ruin, 2005, D.C.M. Dickson; Cambridge University Press.

Department Undergraduate Notes:

Tutor Requests:
Students looking for a tutor should visit https://www.sfu.ca/stat-actsci/all-students/other-resources/tutoring.html. We accept no responsibility for the consequences of any actions taken related to tutors.

Registrar Notes:


SFU’s Academic Integrity web site http://www.sfu.ca/students/academicintegrity.html is filled with information on what is meant by academic dishonesty, where you can find resources to help with your studies and the consequences of cheating.  Check out the site for more information and videos that help explain the issues in plain English.

Each student is responsible for his or her conduct as it affects the University community.  Academic dishonesty, in whatever form, is ultimately destructive of the values of the University. Furthermore, it is unfair and discouraging to the majority of students who pursue their studies honestly. Scholarly integrity is required of all members of the University. http://www.sfu.ca/policies/gazette/student/s10-01.html


Teaching at SFU in spring 2022 will involve primarily in-person instruction, with safety plans in place.  Some courses will still be offered through remote methods, and if so, this will be clearly identified in the schedule of classes.  You will also know at enrollment whether remote course components will be “live” (synchronous) or at your own pace (asynchronous).

Enrolling in a course acknowledges that you are able to attend in whatever format is required.  You should not enroll in a course that is in-person if you are not able to return to campus, and should be aware that remote study may entail different modes of learning, interaction with your instructor, and ways of getting feedback on your work than may be the case for in-person classes.

Students with hidden or visible disabilities who may need class or exam accommodations, including in the context of remote learning, are advised to register with the SFU Centre for Accessible Learning (caladmin@sfu.ca or 778-782-3112) as early as possible in order to prepare for the spring 2022 term.