Oct 19, 2019   2:33 p.m. Kristián

# Course syllabus 427M8_4D - Mathematical Statistics (FCFT - 2018/2019 - post-graduate studies)

Information sheet          ECTS          Syllabus

Slovak          English

University: Slovak University of Technology in Bratislava
Faculty: Faculty of Chemical and Food Technology
Course unit code: 427M8_4D
Course unit title: Mathematical Statistics
Mode of delivery, planned learning activities and teaching methods:
 lecture 2 hours weekly (on-site method)

Credits allocated: 3

Recommended semester/trimester: Chemical Engineering - doctoral (optional), 1. year
Chemical Physics - doctoral (optional), 1. year
Process Control - doctoral (optional), 1. year
Level of study: 3.
Prerequisites for registration: none

Assesment methods:
Students should work out their homework and to obtain a test.

Learning outcomes of the course unit:
Get acquainted students with the fundamentals of statistical methods, teach them to handle univariate and multivariate datasets with the assistance of statistical software.

Course contents:
The subject is divided into two parts. In the first part, there are discussed the theoretical
foundations of applied statistics, especially probability, random variables and random vectors.
The second part is devoted to the basic statistical analysis (statistical analysis of one-dimensional data sets, statistical analysis of multidimensional data sets ). One of these analysis is theory of estimations, expressly point and interval estimations of unknown parameters in the models of direct measurements and indirect measurements. Next analysis is testing of statistical hypotheses, tangibly testing of a good concordance data sets and models, testing of expectations of the normal and exponential distributions.

Basic:
 VARGA, Š. Matematická štatistika. Bratsilava : Nakladateľstvo STU, 2012. 219 p. ISBN 978-80-227-3789-0. VOLAUF, P. Matematická štatistika: Zbierka príkladov. Bratislava : STU v Bratislave, 2001. 166 p. ISBN 80-227-1523-9. MONTGOMERY, D C. -- RUNGER, G C. Applied Statistics and Probability for Engineers. New York : John Wiley & Sons, 2002. 706 p. ISBN 0-471-20454-4.

Recommended:
 VARGA, Š. -- ŠABO, M. -- POSPÍCHAL, J. Matematika III: Matematická štatistika a numerické metódy. Bratislava : STU v Bratislave FCHPT, 2003. 202 p. ISBN 80-227-1840-8. ROUSSAS, G G. A course in mathematical statistics. San Diego : Academic Press, 1997. 572 p. ISBN 0-12-599315-3.

Language of instruction: slovak or english

Notes:

Courses evaluation:
Assessed students in total: 35

PN
100,0 %0 %
Name of lecturer(s): Mgr. Ľubomíra Horanská, PhD. (examiner, instructor, lecturer)
RNDr. Naďa Krivoňáková, PhD. (examiner, instructor, lecturer) - slovak, english
doc. RNDr. Zdenko Takáč, PhD. (examiner, instructor, lecturer, person responsible for course) - slovak, english

Last modification: 27. 8. 2018
Supervisor: doc. RNDr. Zdenko Takáč, PhD. and programme supervisor

Last modification made by Ing. Tomáš Molnár on 08/27/2018.

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