Aug 20, 2019   8:12 p.m. Anabela
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Course syllabus B-MASTA - Mathematical statistics (FEEIT - WS 2019/2020)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Electrical Engineering and Information Technology
Course unit code: B-MASTA
Course unit title: Mathematical statistics
Mode of delivery, planned learning activities and teaching methods:
lecture2 hours weekly (on-site method)
seminar2 hours weekly (on-site method)

 
Credits allocated: 5
 
Recommended semester/trimester: Applied Informatics - bachelor (compulsory), 3. semester
Level of study: 1.
Prerequisites for registration: passed Mathematics 2 (B-MAT2I)
 
Assesment methods:
During the semester - 30 points (30 credit tests)
The necessary credit - 15 points.
After the end of the semester - exam (70 points)
Result: The sum of the points of the semester tests, specified tasks and exams.
A final assessment by the study of procedure STU.
 
Learning outcomes of the course unit:
To present the first exposure to statistical methods and data analysis. To understand the importance of a test of the general linear hypothesis in linear model.
 
Course contents:
Random events, probability measure. Conditional probebility, Bayes' theorem. Random variable, probability distribution, distribution function and density function. Characteristics of random variables

Probability distribution -- discrete (discrete uniform, binomial,geometric, Poisson) and
continuos (unirofm, normal exponecial, Chi-squared distribution, Student's distribution, F-distribution. Limits Theorems. Random vector. Independence of random variables, joint distribution, covariance and correlation matrix

Descriptive statistics. Random choice and estimation of mean and variance. Confidence intervals. A statistical hypothesis test. Some parametric and nonparametric tests, good-fit tests.

 
Recommended or required reading:
Basic:
NÁNÁSIOVÁ, O. -- KOHNOVÁ, S. Štatistika a pravdepodobnosť: Základy matematickej štatistiky a teórie pravdepodobnosti. Bratislava: Vydavateľstvo STU, 2016. 199 p. ISBN 978-80-227-4527-7.
VOLAUF, P. Matematická štatistika: Zbierka príkladov. Bratislava : STU v Bratislave, 2001. 166 p. ISBN 80-227-1523-9.

Recommended:
J. Anděl: Základy matematické statistiky. MATFYZPRESS - Univerzita Karlova v Praze v Praze 2007
K. Zvára, J, Štepán: Pravděpodobnost a matematická statistika. MATFYZPRESS - Univerzita Karlova v Praze 1997
Varga: Matematická štatistika. . STU Edícia vysokoškolských učebníc, v Bratislave, 2012

 
Language of instruction: slovak or english
 
Notes:
 
Courses evaluation:
Assessed students in total: 0

Name of lecturer(s): doc. RNDr. Oľga Nánásiová, PhD. (examiner, lecturer, person responsible for course) - slovak, english
Mgr. Dávid Pancza, PhD. (instructor) - slovak, english
 
Last modification: 6. 5. 2019
Supervisor: doc. RNDr. Oľga Nánásiová, PhD. and programme supervisor


Last modification made by RNDr. Marian Puškár on 05/06/2019.

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