| Course Unit Code | 639-2001/02 |
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| Number of ECTS Credits Allocated | 5 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | First Cycle |
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| Year of Study * | Second Year |
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| Semester when the Course Unit is delivered | Winter Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| HAL37 | Ing. Mgr. Petra Halfarová, Ph.D. |
| TOS012 | Ing. Filip Tošenovský, Ph.D. |
| Summary |
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The explanation of basic terms and methods needed when analysing experimental data and consequential subjects (mathematical statistics, econometrics, time series, design of experiments) and some other special methods of quality control.
The main chapters are: random variable, random vector and function of random variable. The explanation is aimed at the description and qualities of basic terms and possibilities of their application.
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| Learning Outcomes of the Course Unit |
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Knowledge of elementary terms of the probability theory: random variable, random vector, random variable function
Understanding of properties of elementary terms and their relations
Creating theoretical foundation for subsequent school subjects |
| Course Contents |
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1. Algebra of Events.
2. Definitions of Probability.
3. Basic Theorems about Probability.
4. Repeated Independent Experiments.
5. Repeated Dependent Experiments.
6. Random Variable, Distribution Function.
7. Distributions of Discret Random Variables.
8. Distributions of Continuous Random Variables.
9. Law of Large Numbers.
10. Characteristics of Random Variables.
11. Function of Random Variable.
12. Random Vector. |
| Recommended or Required Reading |
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| Required Reading: |
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DOKUCHAEV, N. Probability Theory. NY: World Scientific Publishing, 2010. ISBN 978-9814678025.
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TOŠENOVSKÝ, J. Teorie pravděpodobnosti. Ostrava: VŠB - Technická univerzita Ostrava, 2012. ISBN 978-80-248-2591-5. Dostupné z: http://www.person.vsb.cz/archivcd/FMMI/PST/index.htm
HRON, K. a P. KUNDEROVÁ. Základy počtu pravděpodobnosti a metody matematické statistiky. Olomouc: Univerzita Palackého, 2015. ISBN 978-80-244-4774-2.
DOKUCHAEV, N. Probability Theory. NY: World Scientific Publishing, 2010. ISBN 978-9814678025.
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| Recommended Reading: |
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MEESTER, R. A Natural Introduction to Probability Theory. Amsterdam: Birkhäuser Actar, 2010. ISBN 376-43-8723-8.
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ŠTĚPÁN, J. Teorie pravděpodobnosti. Praha: Akademia, 1987. ISBN 80-210-3313-4.
TOŠENOVSKÝ, J. Základy statistického zpracování dat. Ostrava: VŠB-Technická univerzita Ostrava, 2015. ISBN 978-80-248-3733-8.
ANDĚL, J. Základy matematické statistiky. Praha: MATFYZPRESS, 2011. ISBN 978-80-737-8162-0.
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| Planned learning activities and teaching methods |
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| Lectures, Tutorials |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 40 | 20 |
| Examination | Examination | 60 | 31 |