M5KPM Chapters from actuarial mathematics

Faculty of Science
Autumn 2019
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
Mgr. Silvie Zlatošová, 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
Thu 12:00–13:50 M4,01024
Prerequisites (in Czech)
M6110 Mathematics of Insurance
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
Course objectives
The aim of the course is to teach students some important techniques from insurance mathematics. At the end of this course, students will be able to understand the collective and individual risk models and apply them. Based on the acquired knowledge student should also be able to determine tariff rates in different periods and credibility and Bayesian premiums.
Learning outcomes
At the end of this course, students will be able to understand the collective and individual risk models and apply them. Based on the acquired knowledge student should also be able to determine tariff rates in different periods and credibility and Bayesian premiums.
Syllabus
  • Conditional probability
  • Model of individual claims
  • Convolution, moment generating functions, application
  • Distribution of total insurance claim
  • Composite distribution
  • Tariffing
  • Credibility theory
  • Bayesian premium
  • Credibility premium
Literature
    required 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
  • BOWERS, Newton L. Actuarial mathematics. 2nd ed. Schaumburg, Ill.: Society of Actuaries, 1997. xxvi, 753. ISBN 0938959468. info
    recommended literature
  • MANDL, Petr and Lucie MAZUROVÁ. Matematické základy neživotního pojištění. Vyd. 1. Praha: Matfyzpress, 1999. 113 s. ;. ISBN 80-85863-42-1. info
Teaching methods
Lectures and discussion
Assessment methods
2 written tests
Language of instruction
Czech
Further Comments
Study Materials
The course is also listed under the following terms Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2020.
  • Enrolment Statistics (Autumn 2019, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2019/M5KPM