Infopaket

Probability theory and mathematical statistics

ОК 7

Обов’язкова дисципліна для ОП

First

2021/2022

1 Semester

4

Acquisition of fundamental concepts and theorems of probability theory, laws governing the distribution of discrete and continuous random variables, key principles and techniques for analyzing patterns in random phenomena, as well as statistical methods for data processing and modeling random processes. Proficiency in applying standard methods and models to solve probabilistic problems, including the use of software applications, and calculating numerical characteristics of random variables. Development of practical teamwork skills, selection and application of probabilistic-statistical methods for problem-solving, particularly within the realm of computer science.

Full-time form

There are no prerequisites for mastering the discipline.

The study of the course "Probability Theory and Mathematical Statistics" aims to equip students with competencies in addressing contemporary theoretical and practical challenges by utilizing fundamental theorems and principles of probability theory and mathematical statistics. This knowledge is crucial for solving applied and scientific problems within the realm of information systems and technologies in their professional endeavors. The course delves into detailed algorithms for tackling key issues in probability theory and mathematical statistics, incorporating software tools for handling problems that require complex algorithms. Specifically, tools such as Mathcad, Excel, and STATISTICA are employed to resolve certain problems. The course's objective is to foster and enhance general and professional competencies in probability theory and mathematical statistics, enabling students to solve applied data analysis problems using probabilistic-statistical methods.

4. Mary C. Meyer . Probability and Mathematical Statistics: Theory, Applications, and Practice in R. - SIAM - Society for Industrial and Applied Mathematics. - 2019. - 707 p. 5. Marco Taboga . Lectures on Probability Theory and Mathematical Statistics - 3rd Edition. - CreateSpace Independent Publishing Platform. – 2017. - 670 p. 6. Mary C. Meyer . Probability and Mathematical Statistics: Theory, Applications, and Practice in R. - SIAM - Society for Industrial and Applied Mathematics. - 2019. - 707 p. 7. Marco Taboga . Lectures on Probability Theory and Mathematical Statistics - 3rd Edition. - CreateSpace Independent Publishing Platform. – 2017. - 670 p.

Lectures, practical activities, individual work

The student's grade is determined based on their performance throughout the semester. The maximum number of points a student can earn is 100 points, which include practical classes, calculation work, MKR1, and MKR2. If the cumulative total of points is at least 60, the student is assigned a passing grade. If a student desires to improve their results, provided they have earned credit points, they have the option to take an additional test worth 20 points. However, the total number of points must not exceed 100. Students who accumulate fewer points than the critical calculation minimum of 40 are not permitted to take the test. The recommended minimum points for test eligibility is 48. When taking the test, the examination ticket includes theoretical questions and practical tasks encompassing the entire range of topics covered in the academic discipline.

Ukrainian