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Lecturer(s)
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Pluháček František, doc. RNDr. Mgr. Ph.D.
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Kolář Michal, Mgr. Ph.D.
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Course content
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-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
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Learning activities and teaching methods
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Lecture
- Attendace
- 39 hours per semester
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Learning outcomes
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The aim of the course is to familiarize students with the basics of probability and statistics and to teach them how to practically apply the acquired knowledge in experimental activities with a focus on optometry.
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.
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Prerequisites
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No prior requirements.
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Assessment methods and criteria
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Mark, Oral exam
Active participation in exercises and seminars.
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Recommended literature
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Anděl, J. (2020). Matematika náhody. 4. vydání. Praha.
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Anděl, J. (2019). Statistické metody. 5. vydání. Praha.
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Chráska, M. (2016). Metody pedagogického výzkumu: Základy kvantitativního výzkumu. Praha.
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Jiří Likeš a Josef Machek:. Matematická statistika, SNTL, Praha, 1988.
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Jiří Likeš a Josef Machek:. Počet pravděpodobnosti, SNTL, Praha, 1987.
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Karel Rektorys a spol.:. Přehled užité matematiky, SNTL, Praha, 1973.
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Karel Rektorys:. Co je a k čemu je vyšší matematika, Academia, Praha, 2001.
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Vojáček, J. (2024). Statistika pro nematematiky. Praha.
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