MU:MU02032 Probability and Statistics - Course Information

MU02032 Probability and Statistics

Extent and Intensity

2/2/0. 6 credit(s). Type of Completion: zk (examination).

Teacher(s)

doc. RNDr. Tomáš Kopf, Ph.D. (lecturer)
Mgr. Leszek Marcin Szała, Ph.D. (seminar tutor)

Guaranteed by

doc. RNDr. Tomáš Kopf, Ph.D.
Mathematical Institute in Opava

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 Analysis (programme MU, M1101)
• Theoretical Physics (programme FPF, M1701 Fyz)
• Theoretical Physics (programme FPF, N1701 Fyz)
• Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
• Secondary School Teacher Training in Mathematics (programme FPF, M7504)

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

Conditional upon pre-exam credits. The examination will be written and oral, on the listed topics.

• Enrolment Statistics (Winter 2013, recent)
  
• Permalink: https://is.slu.cz/course/sumu/winter2013/MU02032