Course Details

# Mathematics 4

Academic Year 2023/24

BA004 course is part of 7 study plans

B-K-C-SI (N) / S Winter Semester 3rd year

B-P-C-MI (N) / MI Winter Semester 2nd year

B-P-C-SI (N) / S Winter Semester 3rd year

B-P-C-SI (N) / V Winter Semester 3rd year

B-P-C-SI (N) / K Winter Semester 3rd year

B-P-C-SI (N) / M Winter Semester 3rd year

B-P-C-SI (N) / N Winter Semester 3rd year

Course Guarantor

Institute

Objective

Knowledge

Syllabus

2. Properties of probability. Cumulative distribution and its properties.

3. Relationships between probability, density and cumulative distributions. Marginal random vector.

4. Independent random variables. Numeric characteristics of random variables: mean and variance, standard deviation, variation coefficient, modus, quantiles. Rules of calculation mean and variance.

5. Numeric characteristics of random vectors: covariance, correlation coefficient, covariance and correlation matrices.

6. Some discrete distributions - discrete uniform, alternative, binomial, Poisson - definition, using.

7. Some continuous distributions - continuous uniform, exponential, normal, multivariate normal - definition applications.

8. Chi-square distribution, Student´s distribution - definition, using. Random sampling, sample statistics.

9. Distribution of sample statistics. Point estimation of distribution parameters, desirable properties of an estimator.

10. Confidence interval for distribution parameters.

11. Fundamentals of hypothesis testing. Tests of hypotheses for normal distribution parameters.

12. Goodness-of-fit tests. Chi - square test. Basics of regression analysis.

13. Linear model.

Prerequisites

Language of instruction

Czech, English

Credits

5 credits

Semester

Forms and criteria of assessment

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

Offered to foreign students

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

Syllabus

Exercise

13 weeks, 2 hours/week, compulsory

Syllabus