| Course title | Probability and Statistics II |
|---|---|
| Course code | KMA/P521 |
| Organizational form of instruction | Lecture + Lesson |
| Level of course | Bachelor |
| Year of study | 3 |
| Semester | Winter |
| Number of ECTS credits | 6 |
| Language of instruction | Czech |
| Status of course | Compulsory |
| Form of instruction | unspecified |
| Work placements | unspecified |
| Recommended optional programme components | None |
| Lecturer(s) |
|---|
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| Course content |
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1. Statistical distributions 2. Basic concepts of statistics 3. Normal distribution choice 4. Distributions of exponential type 5. Properties of estimators (maximum likelihood, unbiased estimators) 6. Properties of estimators (consistency a efficiency) 7. Confidence intervals (parameters of normal distribution) 8. Confidence intervals (parameters of the other ones) 9. Statistical tests (principles, F-test and t-tests) 10. Statistical tests (tests of parameters nonnormal distributions, chi-squared test and other nonparametric tests) 11. Linear regression - universal model 12. Linear regression - applications 13. Correlation 14. Time reserve 15. Time reserve
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| Learning activities and teaching methods |
| unspecified |
| Learning outcomes |
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The course is a follow-up to the Probability and Statistics I course, and its focus is predominantly on the methods of information extrapolation from the selected partial set to the core set. As for methods employed in the field of mathematical statistics, the following issues will be dealt with: point and interval parameter estimates in elementary probability distributions, the testing of hypotheses relating to parameters in normal distribution, the approximate testing of parameters in some other types of distribution (using data from one or two random selections), some non-parameter tests, linear regression, and some issues related to the correlation of random variables.
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| Prerequisites |
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unspecified
KMA/P421 ----- or ----- KMA/P450 |
| Assessment methods and criteria |
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unspecified
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| Recommended literature |
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| Study plans that include the course |
| Faculty | Study plan (Version) | Category of Branch/Specialization | Recommended semester | |
|---|---|---|---|---|
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Winter |
| Faculty: Faculty of Science | Study plan (Version): Mathematics (double subject) (A14) | Category: Mathematics courses | 3 | Recommended year of study:3, Recommended semester: Winter |