Course: Probability and Statistics

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Course title Probability and Statistics
Course code OPT/PS
Organizational form of instruction Lecture + Exercise + Seminar
Level of course Master
Year of study not specified
Semester Summer
Number of ECTS credits 5
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
Lecturer(s)
  • Pluháček František, doc. RNDr. Mgr. Ph.D.
  • 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

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
  • Anděl, J. (2020). Matematika náhody. 4. vydání. Praha: MatfyzPress.
  • Anděl, J. (2019). Statistické metody. 5. vydání. Praha: MatfyzPress.
  • Chráska, M. (2016). Metody pedagogického výzkumu: Základy kvantitativního výzkumu. Praha: Grada Publishing.
  • 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) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Optometry (2022) Category: Health service 1 Recommended year of study:1, Recommended semester: Summer