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Course syllabus D1-PSM - Probability and mathematical statistics (FCE - 2018/2019 - post-graduate studies)


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University: Slovak University of Technology in Bratislava
Faculty: Faculty of Civil Engineering
Course unit code: D1-PSM
Course unit title: Probability and mathematical statistics
Mode of delivery, planned learning activities and teaching methods:
workshop2 hours weekly / 26 hours per semester of study (on-site method)

 
Credits allocated: 5
 
Recommended semester/trimester: Theory and Environmental Technology of Buildings - doctoral (semi-compulsory), 1. year
Level of study: 3.
Prerequisites for registration: none
 
Assesment methods:
Correctly elaborated all assignments.
Obtaining at least 56 points on the exam.
 
Learning outcomes of the course unit:
Students will achieve knowledge of the foundations of modern probability and statistics. They will understand the link between probability theory and statistics and they will learn to understand the basic concepts of mathematical statistics and the methods used. They will get an overview of basic probability distributions, different procedures to construct estimations and hypothesis tests.
 
Course contents:
- Introduction to probability theory. Conditional probability and independence. Bayes' theorem
- Random variable, basic types of random variable distribution function, moments of random variable. Limit theorems.
- Random vector, joint probability distribution, marginal probability distribution. Moments
- Normal distribution random choice.
- Estimates of parameters, confidence intervals.
- Fundamentals of statistical hypothesis testing.
- Application of statistical methods to the series of real statistical data.
 
Recommended or required reading:
Basic:
ANDĚL, J. Matematika náhody. Praha : Matfyzpress, 2003. 273 p. ISBN 80-86732-07-X.
ANDĚL, J. Statistické metody. Praha : Matfyzpress, 1993. 246 p.
ZVÁRA, K. -- ŠTĚPÁN, J. Pravděpodobnost a matematická statistika. Praha : Matfyzpress, 2006. 230 p. ISBN 80-86732-71-1.
DALLOSOVÁ, A. -- MESIAR, R. Pravdepodobnosť a matematická štatistika: Návody na cvičenia. Bratislava : SVŠT v Bratislave, 1987. 168 p.

 
Language of instruction: slovak and english or english
 
Notes:
 
Courses evaluation:
Assessed students in total: 4

PN
100,0 %0 %
Name of lecturer(s): doc. RNDr. Jana Kalická, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english
 
Last modification: 31. 8. 2015
Supervisor: doc. RNDr. Jana Kalická, PhD. and programme supervisor


Last modification made by Ing. Peter Korčák on 08/31/2015.

Type of output: