FP-UstatlPAcad. year: 2019/2020
Random events: Probability and their properties, conditioned probability, classical probability, independed events, total probability.
Random variables: Random variables of discrete and continuous type, characteristics and distribution laws, distribution binomial, hypergeometric, geometric, Poisson, normal and exponential.
Mathematical Statistcs: Processing univariate sample data with a quantitative variable, points and intervals estimation of population parameters, testing statistical hypothesis.
Index Numbers: Simple and composite index numbers, Laspeyres and Paasche index numbers.
Regression Analysis: Method of least-squares, regression line, special regression function.
Time Series: Characteristics of time series, decomposition of time series, trend in a time series.
Learning outcomes of the course unit
Students will be made familiar with the fundamentals of random variables, mathematical statistics, analysis of index numbers, regression analysis and time series and will learn how to use its methods to solve economic problemes. After completion of this course students will be prepared to study economic topics working with uncertainty.
Fundamentals of linear algebra and mathematical analysis.
Recommended optional programme components
Recommended or required reading
KROPÁČ, J. Statistika. 2. vyd. CERM, Brno. 2012. ISBN 978-80-7204-788-8. (CS)
HINDLS, R. aj. Analýza dat v manažerském rozhodování. Praha : Grada Publishing, 1999. ISBN 80-7169-255-7. (CS)
SWOBODA, H. Moderní statistika. Praha : Svoboda, 1977. (CS)
SEGER, J. aj. Statistické metody v tržním hospodářství. Praha : Victoria Publishing, 1995. ISBN 80-7187-058-7. (CS)
Planned learning activities and teaching methods
The course contains lectures that explain basic principles, problems and methodology of the discipline, and exercises that promote the practical knowledge of the subject presented in the lectures.
Assesment methods and criteria linked to learning outcomes
COURSE-UNIT CREDIT: The course-unit credit is awarded on the following conditions:
- participation in seminars,
- submitting answers to theoretical questions,
- submitting answers to elaboration calculating projects.
EXAM: The exam has a written form.
In the first part of the exam student solves examples within 60-70 minutes. (It is allowed to use recomended literature.)
In the second part of the exam student works out answers to theoretical questions within 15 minutes.
The mark, which corresponds to the total sum of points achieved (max 100 points), consists of:
- points achieved in control tests, achieved to calculating projects elaboration; these points must be achieved in the semestr, in which is examen.
- points achieved by solving examples,
- points achieved by answering theoretical questions.
The grades and corresponding points:
A (100-90), B (89-83), C (82-76), D (75-69), E (68-60), F (59-0).
Language of instruction
Discrete random variables.
Continuous random variables.
Processing data samples.
Tests of statistical hypotheses.
Composite and aggregate index numbers.
The objective of the course is to make students familiar with the fundamentals of random variables, mathematical statistics, analysis of index numbers, regression analysis and time series. They will be able to study economic topics working with uncertainty, and to solve problems related to these topics applying the methods of this theory.
Specification of controlled education, way of implementation and compensation for absences
Attendance at lectures is not compulsory, but is recommended. Attendance at exercises is required and checked by the tutor. An excused absence of a student from seminars can be compensated for by submitting solution of alternate exercises.