MU:MU01133 Probability and Statistics - Course Information
MU01133 Probability and Statistics
Mathematical Institute in OpavaWinter 2010
- Extent and Intensity
- 2/0/0. 4 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- Ing. Bc. Petr Harasim (lecturer)
- Guaranteed by
- Ing. Bc. Petr Harasim
Mathematical Institute in Opava - Prerequisites (in Czech)
- MU01002 Mathematical Analysis II && MU01933 Probability and Stat. - Exe
- 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
- Applied Mathematics (programme MU, B1101)
- Applied Mathematics in Risk Management (programme MU, B1102)
- Mathematical Methods in Economics (programme MU, B1101)
- Mathematics (programme MU, B1101)
- Course objectives
- Essential notions and principles of probability theory and mathematical statistic.
- Syllabus
- - random experiment, random event, statistical and classical definition of probability, conditional probability, independence, probability axioms
- random variable, distribution function, discrete and continuous random variables, numerical characteristics, some important probability distributions
- random vector, joint distribution function, numerical characteristics of random vectors, independent random variables, functions of random variables, special probability distributions
- limit theorems
- sample, point and interval estimations, statistical treatment of measured data
- introduction to statistical hypothesis testing
- - random experiment, random event, statistical and classical definition of probability, conditional probability, independence, probability axioms
- Literature
- recommended literature
- J. Anděl. Matematika náhody. Matfyzpress, Praha, 2000. ISBN 80-85863-52-9. info
- J. Ramík, A. Wissgärber. Statistika A. Karviná, 1995. ISBN 80-85879-43-3. info
- J. Anděl. Matematická statistika. Praha, 1987. info
- Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87. info
- J. Likeš, J. Machek. Matematická statistika. Praha, 1983. info
- J. Likeš, J. Machek. Počet pravděpodobnosti. Praha, 1982. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Requierements for pre-exam credits are defined by lecturer. In principle, students should be able to solve simple practical problems. The same is true for written exam. During the course of oral exam, essential theoretical attainments are required.
- Enrolment Statistics (Winter 2010, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2010/MU01133