Probability theory and mathematical statistics

Course: Economic analysis and statistics

Structural unit: Faculty of Economics

Title
Probability theory and mathematical statistics
Code
1.16
Module type
Обов’язкова дисципліна для ОП
Educational cycle
First
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
PLO6. Apply appropriate economic-mathematical and statistical methods and models to solve economic problems. PLO11. Apply the acquired theoretical knowledge to solve practical problems and interpret the results. PLO 16. Demonstrate basic skills of creative and critical thinking during research and professional communication. PLO18. Perform interdisciplinary analysis of socio-economic phenomena and processes in one or more professional areas.
Form of study
Distance form
Prerequisites and co-requisites
1. Know: the basic concepts of higher mathematics, including methods for calculating the boundaries of numerical sequences and functions, the concept of numerical series, methods for studying the convergence of numerical series, methods for calculating integrals, set theory. 2. Have the skills to calculate the boundaries of numerical sequences, calculating integrals.
Course content
The curriculum consists of two content modules: Content module 1. "Probability Theory", which discusses the basic concepts of probability theory, axioms of probability theory, discrete random variables, continuous random variables, limit theorems of probability theory. Content module 2. "Mathematical Statistics", which discusses the main problems of mathematical statistics, descriptive statistics, statistical evaluation of unknown parameters of distributions, testing statistical hypotheses, least squares method, linear regression, elements of analysis of variance and time series analysis.
Recommended or required reading and other learning resources/tools
Planned learning activities and teaching methods
The purpose of the discipline is to form a student's basic knowledge of the basics of the application of probabilistic and statistical apparatus for future economic and statistical research.
Assessment methods and criteria
semester assessment: 1. Modular test (2 MCR, 20 points max. Each) - 40 points / 24 points; 2. Independent work - estimated individual task - 20 points / 12 points.
Language of instruction
Ukrainian

Lecturers

This discipline is taught by the following teachers

Departments

The following departments are involved in teaching the above discipline