Probability Theory and Mathematical Statistics for Economists

Course: International Economy

Structural unit: Faculty of Economics

Title
Probability Theory and Mathematical Statistics for Economists
Code
ОК 14
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
Year of study when the component is delivered
2024/2025
Semester/trimester when the component is delivered
2 Semester
Number of ECTS credits allocated
4
Learning outcomes
PRN8. Apply appropriate economic and mathematical methods and models to solve economic problems. PRN10. Analyze the functioning and development of economic entities, determine functional areas, calculate relevant indicators and the effectiveness of their activities. PRN12. Apply acquired theoretical knowledge to solve practical problems and interpret the results obtained in a meaningful way. PRN19. Use information and communication technologies to solve socio-economic problems, prepare and present analytical reports.
Form of study
Full-time form
Prerequisites and co-requisites
1. Know the basic concepts of the theory of boundaries of sequences and functions, the concept of differentiation and integration of a function of one variable. 2. Have the skills to differentiate and integrate the functions of one variable, the application of derivatives to the study of functions.
Course content
The curriculum consists of two content modules: 1. “Probability Theory,” which covers the basic concepts of probability theory, axioms of probability theory, discrete random variables, continuous random variables, and limit theorems of probability theory. 2. “Mathematical Statistics,” which covers the basic problems of mathematical statistics, descriptive statistics, statistical estimation of unknown distribution parameters, testing statistical hypotheses, the least squares method, linear regression, elements of variance analysis, and time series analysis.
Recommended or required reading and other learning resources/tools
1. Gnedeko B.V. Course in Probability Theory. - Kyiv: VPC Kyiv University, 2010. 2. Chernyak O.I., Obushna O.M., Stavitsky A.V. Probability Theory and Statistics. Collection of Problems. - Kyiv: Znannya, 2002. 3. Chernyak O.I., Lyashenko O.I., Kravets T.V., Banna O.L. Probability Theory and Mathematical Statistics. Practical Guide. - Ternopil: Economic Thought, 2019. 4. Barkovskyi V.V., Barkovska N.V., Lopatyn O.K. Probability Theory and Mathematical Statistics. Textbook. Kyiv: Center for Educational Literature, 2019. 5. Karmelyuk G.I. Probability Theory and Mathematical Statistics. Problem-Solving Guide: Textbook. - Kyiv: Center for Educational Literature, 2019. 6. Zhluktenko V.I., Nakonechny S.I. Probability Theory and Mathematical Statistics: Teaching and Methodological Guide. In 2 parts. Part I. Probability Theory. Kyiv: KNEU, 2007.
Planned learning activities and teaching methods
Lectures, practical classes, consultations, independent work.
Assessment methods and criteria
Semester assessment: (maximum score of 60 points / marginal score of 36 points) 1. Surveys and problem solving – 20 points / 12 points; 2. Modular test work (2 MTW 10 points max. each) – 40 points / 24 points. The final assessment is conducted in the form of an exam with a maximum score of 40 points (marginal score of 24 points).
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Yurii Petrovych Tadeyev
Department of Economic Cybernetics
Faculty of Economics

Departments

The following departments are involved in teaching the above discipline

Department of Economic Cybernetics
Faculty of Economics