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Terminated in academic year 2020/2021

Introduction to Probability and Principles of Statistics

Type of study Follow-up Master
Language of instruction Czech
Code 470-8747/01
Abbreviation UPZS
Course title Introduction to Probability and Principles of Statistics
Credits 4
Coordinating department Department of Applied Mathematics
Course coordinator Ing. Martina Litschmannová, Ph.D.

Subject syllabus

1) Introduction to Probability Theory
2) Discrete random variable
3) Selected distributions of discrete random variables
4) Continuous random variable
5) Selected distributions of continuous random variables
6) Limit Theorems
7) Random Vector
8) Introduction to statistics, exploratory analysis
9) The survey, random sampling and basic sample characteristics
10) Introduction to estimation theory
11) Introduction to hypothesis testing (principle)
12) Hypotheses testing - mean, probability, variance (one-sample and two-sample tests)
13) Analysis of variance (verification normality, ANOVA and Kruskal-Wallis test)

Literature

[1] Briš, R. (2011), Probability and Statistics for Engineers, VŠB-TU Ostrava, WEB: http://homel.vsb.cz/~bri10/Teaching/Bris%20Prob%20&%20Stat.pdf
[2] Dummer, R.M. (1998), Introduction to Statistical Science, VŠB-TU Ostrava, ISBN 80-7078-497-0

Advised literature

[1] StatSoft, Inc. (2013). Electronic Statistics Textbook. Tulsa, OK: StatSoft. WEB: http://www.statsoft.com
[2] HILL, T. & LEWICKI, P. (2007). STATISTICS: Methods and Applications. StatSoft, Tulsa, OK.