MU01133 Probability and Statistics

Mathematical Institute in Opava
Winter 2017
Extent and Intensity
2/0/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
RNDr. Jiří Jahn, Ph.D. (lecturer)
Guaranteed by
RNDr. Jiří Jahn, Ph.D.
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
Course objectives
Essential notions and principles of probability theory and mathematical statistic.
Syllabus
  • 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.
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. The examination will be written and oral, on the listed themes.
The course is also listed under the following terms Winter 2007, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2018, Winter 2019, Winter 2020, Winter 2021.
  • Enrolment Statistics (Winter 2017, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2017/MU01133