Actuarial statistics

Course: Economic analysis and statistics

Structural unit: Faculty of Economics

Title
Actuarial statistics
Code
3.2.2.5
Module type
Вибіркова дисципліна для ОП
Educational cycle
Second
Year of study when the component is delivered
2023/2024
Semester/trimester when the component is delivered
3 Semester
Number of ECTS credits allocated
5
Learning outcomes
PLO 8. Select and use the necessary scientific, methodological and analytical tools to manage economic activity PLO 9. Collect, process and analyze statistical data, scientific and analytical materials needed to solve complex economic problems. PLO 10. Justify decisions in conditions of uncertainty that require the use of new approaches and economic-mathematical modeling and forecasting. PLO 14. Assess possible risks, socio-economic consequences of management decisions
Form of study
Prerequisites and co-requisites
1. Know: the basic concepts of probability theory and mathematical statistics, in particular, the characteristics of discrete and continuous random variables, the main types of distributions of random variables, methods for estimating unknown parameters of distributions and tests of statistical hypotheses. 2. Have the skills of statistical analysis of economic indicators, calculation of basic characteristics of random variables, testing statistical hypotheses.
Course content
The curriculum consists of two content modules: Content module 1. "Models of individual and collective risk", which considers models of individual claims, models of the claim process, model of individual risk, models of collective risk, models of life expectancy. Content module 2. "Dynamic model of bankruptcy and reinsurance models", which discusses the dynamic model of bankruptcy, Lundberg inequality, Kramer-Lundberg approximation for the probability of bankruptcy, reinsurance models.
Recommended or required reading and other learning resources/tools
Planned learning activities and teaching methods
The purpose of the discipline - to form a student's system of fundamental knowledge about the nature, construction and analysis of mathematical models and methods governing the relationship between insurers and policyholders.
Assessment methods and criteria
Forms of student assessment: (max. 100 points / min. 60 points) 1. Solving problems - 20 points / 12 points; 2. Modular test - 30 points / 18 points; 3. Independent analytical work - 25 points / 15 points; 4. Final test - 25 points / 15 points.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Yaroslava Popliuiko
Department of Statistics, Information and Analytical Systems and Demography
Faculty of Economics

Departments

The following departments are involved in teaching the above discipline

Department of Statistics, Information and Analytical Systems and Demography
Faculty of Economics