Terminated in academic year 2022/2023

Statistics A

Type of study	Bachelor
Language of instruction	English
Code	151-0503/04
Abbreviation	StatA
Course title	Statistics A
Credits	5
Coordinating department	Department of Mathematical Methods in Economics
Course coordinator	doc. Ing. Václav Friedrich, Ph.D.

Subject syllabus

1. An algebra of events.
Events, outcomes, the complement of an outcome. Operations over events.

2. Introduction to probability.
The addition law. Mutually exclusive events, conditional probability, independent events, the multiplication law. Bayes´ theorem.

3. Discrete random variables. Summary of discrete probability distributions.

4. Continuous random variables. Summary of continuous probability distributions.

5. Special cases of continuous distributions. Limit theorems.

6. Data, measurment. Summarizing data, graphs.

7. Numerical descriptive statistics. Measures of location.

8. Measures of dispersion.

9. Characteristics of shape of data sets.

10. Bivariate data, correlation coefficient.

11. Simple linear regression.

12. Populations, samples, statistical inference - preview.

13. Estimations. Point estimators, interval estimation of population characteristics.

14. Hypothesis testing - principles.

Literature

Teaching material of respective teachers.

Advised literature

ANDERSON, David Ray, Dennis J. SWEENEY a Thomas Arthur WILLIAMS. Statistics for business and economics. 11th ed., rev. Mason: South-Western Cengage Learning, c2012. ISBN 978-0-538-48164-9.

ROSS, Sheldon M. Introduction to probability and statistics for engineers and scientists. 4th ed. Amsterdam: Elsevier/Academic Press, c2009. ISBN 978-0-12-370483-2.

FREUND, Rudolf Jakob, William J. WILSON a Donna L. MOHR. Statistical methods. 3rd ed. Burlington: Elsevier/Academic Press, c2010. ISBN 978-0-12-374970-3.

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