Course detail

Statistics

FP-KstatPAcad. year: 2017/2018

The fundamentals of probability theory, random events, random variables, random vectors, decision-making under risk, analysis of indicies.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

Mgr. Eva Michalíková, Ph.D.

Department

Institute of Informatics (ÚI)

Learning outcomes of the course unit

Students will be made familiar with the fundamentals of probability theory, decision-making under risk and index numbers, and will learn how to use its methods to solve economic problems. After completion of this course students will be prepared to study economic topics working with uncertainty.

Prerequisites

Fundamentals of linear algebra and mathematical analysis.

Co-requisites

Not applicable.

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 on courses
- at least 15 point achieved in control tests till the end of 13th week

EXAM: The exam has a written form.

The mark, which corresponds to the total sum of points achieved (max 100 points), consists of:
- points achieved in control tests
- points achieved in exam

The grades and corresponding points:
A (100-90), B (89-83), C (82-76), D (75-69), E (68-60), F (59-0).

Course curriculum

Classical probaility.
Conditional probability.
Random events.
Random variables.
Discrete random variables.
Special discrete random variables.
Continuous random variables.
Special continuous random variables.
Discrete two-dimensional random vector.
Invidiual index
Aggregate index

Work placements

Not applicable.

Aims

The objective of the course is to make students familiar with the fundamentals of probability theory.
They will be able to study economic topics working with uncertainty, and to solve the 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 seminars is required and checked by the tutor.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KROPÁČ, J. Statistika A. 5. vyd. CERM, Brno. 2013. ISBN 978-80-7204-835-9. (CS)
SEGER, J. aj. Statistické metody v tržním hospodářství. Praha : Victoria Publishing, 1995. ISBN 80-7187-058-7. (CS)

Recommended reading

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)

Classification of course in study plans

  • Programme BAK Bachelor's

    branch BAK-EP , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

13 hod., optionally

Teacher / Lecturer

Mgr. Eva Michalíková, Ph.D.

Syllabus

Topics of lectures are the following:
- Classical definition of probability.
- Conditioned probability.
- Formula of total probability.
- Random variables.
- Discrete random variables.
- Special types of discrete random variables.
- Continuous random variables.
- Special types of continuous random variables.
- Discrete random vectors.
- Discrete random vectors.
- Composition index numbers.
- Aggregate index numbers.
- Decision-making on the risk.

Exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Karel Doubravský, Ph.D.
Mgr. Eva Michalíková, Ph.D.

Syllabus

The topics of exercises correspond to the topics delt with the lectures.