Course: Probability, Statistics and Applied Mathematics

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Course title Probability, Statistics and Applied Mathematics
Course code OPT/PSM
Organizational form of instruction Lecture + Exercise + Seminar
Level of course Master
Year of study not specified
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Herec Jiří, Mgr. Ph.D.
  • Bajer Jiří, prof. RNDr. CSc.
  • Kolář Michal, Mgr. Ph.D.
Course content
-Stochastic vector -Functions of stochastic quantities -Numerical characteristics of stochastic quantities and stochastic vectors -Some distributions of discrete stochastic quantities -Some distributions of continuous stochastic quantities I -Some distributions of continuous stochastic quantities II -Limit theorems -Introduction to mathematical statistics -Basics of theory of estimation and basics of testing of statistical hypotheses

Learning activities and teaching methods
Lecture
Learning outcomes
Stochastic vector
Knowledge Define the main ideas and conceptions of the subject, describe the main approaches of the studied topics, recall the theoretical knowledge for solution of model problems.
Prerequisites
No prior requirements.

Assessment methods and criteria
Mark

Recommended literature
  • Jiří Anděl:. Matematika náhody, Matfyzpress, Praha, 2000.
  • Jiří Anděl:. Statistické metody, Matfyzpress, Praha, 1998.
  • Jiří Likeš a Josef Machek:. Matematická statistika, SNTL, Praha, 1988.
  • Jiří Likeš a Josef Machek:. Počet pravděpodobnosti, SNTL, Praha, 1987.
  • Karel Rektorys a spol.:. Přehled užité matematiky, SNTL, Praha, 1973.
  • Karel Rektorys:. Co je a k čemu je vyšší matematika, Academia, Praha, 2001.


Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester