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