Infopaket

Probability Theory and Mathematical Statistics

ОК 14

Обов’язкова дисципліна для ОП

First

2023/2024

2 Semester

4

The purpose of the discipline - students mastery of the basic concepts, approaches and methods of probability theory and mathematical statistics, necessary for the study of more special courses, which is the basis for a specialist in programming and modeling.

Full-time form

Before studying the discipline "Probability Theory and Mathematical Statistics" it is necessary to master the subject "Higher Mathematics". Prerequisites: the student must know: combinatorics, technique of integration and differentiation, in particular, improper and multiple integrals, series. the student must be able to: use the mastered methods of "Higher Mathematics" in practice.

The discipline consists of three parts. The first part is devoted to the basics of probability theory: combinatorics, classical and geometric definition of probabilities, the basic theorems of probability theory. The second part deals with the concept of random variable. Discrete and absolutely continuous random variables and their characteristics are considered. The third part of the course contains an introduction to mathematical statistics and covers such basic methods of constructing statistical estimates as the method of moments and likelihood method, as well as criterion.

1. В.М. Турчин Теорія ймовірностей і математична статистика. Основні поняття, приклади, задачі. – Д.: Вид-во Дніпропетр. нац. ун-ту, 2006. 2. А.Я. Дороговцев, Д.С. Сільвестров, А.В. Скороход, М.Й. Ядренко. Теорія ймовірностей. Збірник задач – К.:Вища школа, 1976. 3. О.М. Радченко. Основи теорії ймовірностей. – К, ВПЦ «Київський університет», 2007. 4. В.В. Михайленко. Теорія ймовірностей, математична статистика та випадкові функції. Курс лекцій: Навчальний посібник. – Житомир:ЖІТІ, 2003.

This course provides classes in the amount of: lectures - 30 hours, practical classes - 30 hours; individual work of students in the amount of 86 hours is also planned. Methods of semester control: tests conducted during practical classes and individual homework. Final control is test.

The level of achievement of all learning outcomes is determined by the results of written tests. Contribution of learning outcomes to the final assessment: 1.1 - 1.10 [knowledge] - up to 45%; 2.1 - 2.3 [skills] - up to 45%; 3.1-3.2 [communication] - up to 5%; 4.1 [autonomy and responsibility] - up to 5%; Forms of estimation: - semester assessment: The academic semester has three modules. The first is rated up to 20 points, the second - up to 25 points, the third - up to 15. Homework is part of the relevant module. Written tests are conducted after the completion of relevant topics. The course includes two current tests and one modul test. - final assessment (in the form of test): test form - written and oral. The test consists of 1 theoretical question and 4 tasks. Each question and each task is evaluated from 0 to 8 points. In total, you can get from 0 to 40 points for the test.

Ukranian