Course title | Probability and Statistics |
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Course code | KMA/PASM |
Organizational form of instruction | Lecture + Lesson |
Level of course | Bachelor |
Year of study | not specified |
Semester | Winter |
Number of ECTS credits | 8 |
Language of instruction | Czech |
Status of course | Compulsory |
Form of instruction | Face-to-face |
Work placements | Course does not contain work placement |
Recommended optional programme components | None |
Course availability | The course is available to visiting students |
Lecturer(s) |
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Course content |
1. Combinatorics 2. Probability theory: random events, the definition of probability, probability properties. 3. The independence of random events, conditional probability. Bayes theorem. 4. Descriptive Statistics: Types of variables, basic characteristics of location and variability. Ordered data, median, quantiles. Graphic data processing. 5. Random variable. Distribution function and its properties, density, quantile function. Characteristics of random variables. The law of large numbers. 6. Discrete random variables: alternative, binomial, negative binomial, hypergeometric, Poisson. 7. Continuous distributions: normal distribution, uniform, exponential, Weibull, Student and F distributions. The central limit theorem. 8. Multivariate random variable (vector), the dependence - covariance and correlation coefficient 9. Introduction to Mathematical Statistics. Point and interval estimates. 10. Basic concepts of statistical hypothesis testing. Tests of hypotheses on the parameters of the normal and binomial distribution. 11. One-way analysis of variance. Non-parametric tests. 12. Goodness of fit tests. 13. Correlation and regression. Spearman's coefficient of serial correlation. 14. Linear regression, method of least squares. Regression diagnostics.
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Learning activities and teaching methods |
Monological explanation (lecture, presentation,briefing)
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Learning outcomes |
Elements of probability theory, data analysis and statistics.
Basic knowledge of mathematical statistics and probability |
Prerequisites |
Basic knowledge of differential and integral calculus (first year)
KMA/AN1M and KMA/AN2M |
Assessment methods and criteria |
Oral exam, Written exam
Requirements on credit: two tests of the subject matter. The date of each test will be announced in advance by teacher. It is necessary to get score at least 70% for each test. Further, active participation in practice is required. Requirements on exam: Knowledge of problem solving, concepts and basic ideas. |
Recommended literature |
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Study plans that include the course |