Course: Probability and Statistics

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Course title Probability and Statistics
Course code MU/02032
Organizational form of instruction Lecture + Lesson
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 6
Language of instruction Czech
Status of course Compulsory
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Course availability The course is available to visiting students
  • STOLÍN Oldřich, RNDr. Ph.D.
  • JAHN Jiří, Mgr. Ph.D.
Course content
1. Statistical events and statistical surveys. 2. Randomness and probability. 3. Probability distributions and measure theory. 4. The characterization of probability distributions. 5. Special probability distributions. 6. Central limit theorem. 7. Point estimates. Maximum likelihood method. 8. Interval estimates. 9. Hypothesis testing: parametric tests. 10. Special parametric tests. 11. Hypothesis testing: non-parametric tests.

Learning activities and teaching methods
Recommended literature
  • J. Anděl. Matematická statistika. Praha, 1987.
  • J. Anděl. Matematika náhody. Matfyzpress, Praha, 2000. ISBN 80-85863-52-9.
  • J. Likeš, J. Machek. Matematická statistika. Praha, 1983.
  • J. Likeš, J. Machek. Počet pravděpodobnosti. Praha, 1982.
  • J. Ramík, A. Wissgärber. Statistika A. Karviná, 1995. ISBN 80-85879-43-3.
  • Z. Riečanová a kol. Numerické metody a matematická štatistika. Alfa, Bratislava, 1987. ISBN 063-559-87.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Mathematical Institute in Opava Mathematical Analysis (1-IVT) Mathematics courses 3 Winter