639-2001/01 – Probability Theory (TP)

Gurantor departmentDepartment of Quality ManagementCredits7
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
Study languageCzech
Year of introduction2014/2015Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAL37 Ing. Mgr. Petra Halfarová, Ph.D.
TOS012 Ing. Filip Tošenovský, Ph.D.
TOS40 prof. RNDr. Josef Tošenovský, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3
Combined Credit and Examination 18+0

Subject aims expressed by acquired skills and competences

Knowledge of elementary terms of the probability theory: random variable, random vector, random variable function Understanding of properties of elementary terms and their relations Creating theoretical foundation for subsequent school subjects

Teaching methods

Lectures
Tutorials

Summary

The explanation of basic terms and methods needed when analysing experimental data and consequential subjects (mathematical statistics, econometrics, time series, design of experiments) and some other special methods of quality control. The main chapters are: random variable, random vector and function of random variable. The explanation is aimed at the description and qualities of basic terms and possibilities of their application.

Compulsory literature:

DOKUCHAEV, N. Probability Theory. NY: World Scientific Publishing, 2010. ISBN 978-9814678025.

Recommended literature:

MEESTER, R. A Natural Introduction to Probability Theory. Amsterdam: Birkhäuser Actar, 2010. ISBN 376-43-8723-8.

Way of continuous check of knowledge in the course of semester

Test Essay

E-learning

www of FMMI http://www.person.vsb.cz/archivcd/FMMI/PST/index.htm

Další požadavky na studenta

Development of two specified programs, each in the range of 4 s theme of the program: Random variable and its description.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Algebra of Events 2. Definitions of Probability 3. Basic Theorems about Probability 4. Repeat Independent Experiments 5. Repeat Dependent Experiments 6. Random Variable, Distribution Function 7. Distributions of Discret Random Variables 8. Distributions of Continuous Random Variables 9. Law of Large Numbers 10. Characteristics of Random Variables 11. Function of Random Variable 12. Random Vector

Conditions for subject completion

Combined form (validity from: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 40  20
        Examination Examination 60  31
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner