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Terminated in academic year 2020/2021

Introduction to Probability and Statistics

Type of study Bachelor
Language of instruction English
Code 470-2403/02
Abbreviation UPS
Course title Introduction to Probability and Statistics
Credits 4
Coordinating department Department of Applied Mathematics
Course coordinator Ing. Martina Litschmannová, Ph.D.

Subject syllabus

Lectures:
1) Introduction to Probability Theory
2) Discrete random variable
3) Continuous random variable
4) Transformation of random variables, independence of random variables
5) Discrete random vector
6) Introduction to Statistics - survey, a distribution of basic sample characteristics
7) Exploratory analysis of univariate data I. (categorical data)
8) Exploratory analysis of univariate data II. (numerical data)
9) Exploratory analysis of multidimensional data I.
10) Exploratory analysis of multidimensional data II. (pivot tables)
11) Introduction to the theory of estimation (point and interval estimates generally + estimates of mean, variance and the parameter of the binomial distribution)
12) Exploratory analysis of time series I.
13) Exploratory analysis of time series II.

Discussions:
1) Combinatorics, Classical definition of probability
2) Introduction to Probability Theory
3) Discrete random variable
4) Continuous random variable
5) Transformation of random variables, independence of random variables
6) Discrete random vector
7) Introduction to Statistics - survey, a distribution of basic sample characteristics
8) Exploratory analysis of univariate data I. - MS Excel
9) Exploratory analysis of univariate data II. - MS Excel
10) Exploratory analysis of multidimensional data I.
10) Exploratory analysis of multidimensional data II. (pivot tables)
11) Introduction to the theory of estimation (point and interval estimates generally + estimates of mean, variance and the parameter of the binomial distribution)
12) Exploratory analysis of time series I.
13) Exploratory analysis of time series II. - MS Excel

Literature

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

Advised literature

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