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Applied mathematical sciences

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code230-0305/01
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
PAL39RNDr. Radomír Paláček, Ph.D.
POS220Ing. Lukáš Pospíšil, Ph.D.
Summary
The course builds on high school knowledge in the field of statistics and combinatorics. It is divided into three parts - programming in R language, basic statistical methods and advanced statistical methods. The aim is to deepen and enrich the knowledge of statistical methods with practical tasks and the ability to apply this knowledge by using the R language.
Learning Outcomes of the Course Unit
The students should get acquainted with the main concepts of advanced statistical methods. Knowledge of the principles of work with programming language R. On completion of this course students will acquire knowledge of methods of Quantitative Risk Analysis and they learn Cluster analysis, Analysis of variance and methods of integrating functions of two variables.
Course Contents
1. Basic using of programming languuage R
2. Principles of the work in language R
3. Probability
4. Conditional Probability and Bayes' Theorem
5. Random variables
6. Failure Rates
7. Quantitative Risk Analysis
8. Event tree analysis
9. Cluster analysis
10. Analysis of variance (ANOVA)
11. Integrating Functions of Two Variables
12. Applications of Integration
Recommended or Required Reading
Required Reading:
Doležalová, J. Pavelka, L.: Pravděpodobnost a statistika. Skriptum VŠB, Ostrava 2005. ISBN 80-248-0948-6.
Otipka, P. - Šmajstrla, V.: Pravděpodobnost a statistika. Skriptum VŠB-TU, Ostrava 2006. ISBN 80-248-1194-4. ( http://www.studopory.vsb.cz/studijnimaterialy/past/past.pdf )
http://mdg.vsb.cz/portal/en/Statistics1.pdf
Doležalová, J. Pavelka, L.: Pravděpodobnost a statistika. Skriptum VŠB, Ostrava 2005. ISBN 80-248-0948-6.
Otipka, P. - Šmajstrla, V.: Pravděpodobnost a statistika. Skriptum VŠB-TU, Ostrava 2006. ISBN 80-248-1194-4. ( http://www.studopory.vsb.cz/studijnimaterialy/past/past.pdf )
http://mdg.vsb.cz/portal/m3/index.php
Recommended Reading:
Meloun, M. -- Militký, J. Kompendium statistického zpracování dat: metody a řešené úlohy, Praha, Academia, 2006, 80-200-1396-2
Andrew C. Harvey. Time Series Models. Harvester wheatsheaf, 1993.
Meloun, M. -- Militký, J. Kompendium statistického zpracování dat: metody a řešené úlohy, Praha, Academia, 2006, 80-200-1396-2
Andrew C. Harvey. Time Series Models. Harvester wheatsheaf, 1993.
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit20 5
        ExaminationExamination80 (80)30
                Písemná zkouškaWritten examination60 25
                Ústní zkouškaOral examination20 5