MU:MU20009 Probability and Statistics I - Course Information
MU20009 Probability and Statistics I
Mathematical Institute in OpavaWinter 2023
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. Ing. Petr Seďa, Ph.D. (lecturer)
doc. Ing. Petr Seďa, Ph.D. (seminar tutor) - Guaranteed by
- doc. Ing. Petr Seďa, Ph.D.
Mathematical Institute in Opava - Timetable
- Thu 8:55–10:30 LVT1
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- MU20002 Mathematical Analysis II && TYP_STUDIA(B)
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematical Methods and Modelling (programme MU, Bc-M)
- Mathematical Methods in Economics (programme MU, Bc-M)
- Mathematical Methods in Risk Management (programme MU, Bc-M)
- General Mathematics (programme MU, Bc-M)
- Course objectives
- The main goal of this one-semestral course is to introduce the fundamental notions and principles of probability theory and mathematical statistics. The first part of the course is devoted to the explanation of the fundamentals of probability theory and its relation to mathematical statistics.
- Syllabus
- 1. Finite probability spaces.
2. Elementary statistics.
3. Abstract probability spaces.
4. Numerical characteristic of random variables.
5. Independence.
6. Limit theorems.
7. Point estimation.
8. Interval estimation.
9. Statistical hypothesis testing.
10. Random vectors, correlation and regression.
- 1. Finite probability spaces.
- Literature
- required literature
- ROHATGI, V. K. and A. K. M. E. SALEH. An Introduction to Probability and Statistics. 3rd edition. Hoboken, New Jersey: John Wiley & Sons, Inc., 2015, 689 pp. ISBN 978-1-118-79964-2. info
- K. Zvára, J. Štěpán. Pravděpodobnost a matematická statistika. Praha, 2012. ISBN 978-80-7378-218-4. info
- DEKKING, Frederik Michel, Cornelis KRAAIKAMP, Hendrik Paul LOPUHAÄ and Ludolf Erwin MEESTER. A Modern Introduction to Probability and Statistics, Understanding Why and How. London: Springer London, 2005. Available from: https://dx.doi.org/10.1007/1-84628-168-7. URL info
- Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course can also be completed outside the examination period. - Teacher's information
- The final exam consists of a written (minimum 60% success rate) and an oral part (2 theoretical questions). To obtain the pre-exam credits it is necessary to actively participate in seminars on a regular basis and pass one written test (minimum 67% success rate).
- Enrolment Statistics (Winter 2023, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2023/MU20009