M8F10 Mathematics and Statistical Methods in Insurance

Faculty of Science
Spring 2025
Extent and Intensity
2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
doc. RNDr. Martin Kolář, Ph.D. (lecturer)
Guaranteed by
doc. RNDr. Martin Kolář, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 17. 2. to Sat 24. 5. Tue 12:00–13:50 M4,01024
  • Timetable of Seminar Groups:
M8F10/01: Mon 17. 2. to Sat 24. 5. Tue 14:00–14:50 M4,01024, M. Kolář
Prerequisites
Mastering the basics of financial and actuarial mathematics.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Abstract
Students will be informed of the possibility of using mathematical and statistical methods in insurance activities of commercial insurance companies operating in the insurance market in the Czech Republic.
Learning outcomes
After completing this course, students will be able to understand the basic principles of calculation of premiums and making insurance reserves.
Key topics
Probability distributions and their characteristics in actuarial mathematics, Tails of distributions and their classification, risk measures, TVaR Continuous models, operations with distributions Division of class (a, b, 0) and (a, b, 1) Compound counting distributions, Panjer's recursion Reading processes Processes with independent increments, operating time Reading Markov processes with positive and negative infection Recovery processes Mixed Poisson processes Zero modification and truncation Total loss models Compound Poisson process Methods for calculating the total demand, analytical, recursive and inverse methods Ruin theory Adjustment coefficient and Lundberg inequality Cramer's asymptotic formula
Study resources and literature
  • KLUGMAN, Stuart A.; Harry H. PANJER and Gordon E. WILLMOT. Loss models : from data to decisions. 4th ed. Hoboken, N.J.: John Wiley & Sons, 2012, xiv,511 s. ISBN 9781118315323. info
  • DICKSON, D. C. M.; Mary HARDY and H. R. WATERS. Actuarial mathematics for life contingent risks. 2nd ed. Cambridge: Cambridge University Press, 2013, xxi, 597. ISBN 9781107044074. info
Approaches, practices, and methods used in teaching
Lectures, homeworks
Method of verifying learning outcomes and course completion requirements
Successful completion of this course is at least 60% success rate in the written examination.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught once in two years.
The course is also listed under the following terms Spring 2012, spring 2012 - acreditation, Spring 2014, Spring 2016, spring 2018, Spring 2021, Spring 2023.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/sci/spring2025/M8F10