151-0303 – Statistics A (Stat A)

Gurantor departmentDepartment of Mathematical Methods in Economics
Subject guarantorprof. RNDr. Dana Šalounová, Ph.D.
Study levelundergraduate or graduate
Subject version
Version codeYear of introductionYear of cancellationCredits
151-0303/01 1999/2000 5
151-0303/02 2003/2004 2011/2012 5

Subject aims expressed by acquired skills and competences

The aim is -t o learn students how to present a set of data by tables, graphs and descriptive measures, - to make them acquainted with some parts of probability theory, especially with the term random variable, that is one of tools for description of uncertainity of real economical situations, - to make them able to use basic types of probability distributions for solution of practical cases, - to make them know the principles of some methods of statistical inference and use them for estimating and testing population parameters, - to give the view of regression and correlation analysis.

Teaching methods

Lectures
Tutorials

Summary

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.

Compulsory literature:

Teaching material of respective teachers.

Recommended literature:

Anderson, D.R., Sweeney, D.J., Williams, T.A.: Statistics for Business and Economics. South-Western, 2011, ISBN 978-053-848164-9. Sheldon, M.R.: Introduction to Probability and Statistics for Engineers and Scientists. Academic Press/Elsevier, 2009, ISBN 9780123704832.

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0300 Mat A Mathematics A Compulsory

Co-requisities

Subject has no co-requisities.