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ESF:BPM_STA1 Statistics 1 - Course Information

## BPM_STA1 Statistics 1

**Faculty of Economics and Administration**

Autumn 2012

**Extent and Intensity**- 2/2/0. 5 credit(s). Type of Completion: graded credit.
**Teacher(s)**- doc. Mgr. Maria Králová, Ph.D. (lecturer)

Mgr. Ondřej Černý (seminar tutor)

Mgr. Tomáš Lerch (seminar tutor)

Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)

Mgr. Jan Orava (seminar tutor)

Mgr. Tomáš Zdražil (seminar tutor)

Mgr. Silvie Zlatošová, Ph.D. (seminar tutor) **Guaranteed by**- RNDr. Luboš Bauer, CSc.

Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration

Contact Person: Lenka Hráčková

Supplier department: Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration **Timetable**- Mon 9:20–11:00 P101, Mon 9:20–11:00 P102
- Timetable of Seminar Groups:

*O. Černý*

BPM_STA1/02: Tue 12:00–13:35 S311

BPM_STA1/03: Mon 11:05–12:45 S308

BPM_STA1/04: Fri 11:05–12:45 P102,*T. Zdražil*

BPM_STA1/05: Tue 8:30–10:05 S311

BPM_STA1/06: Fri 12:50–14:30 P102

BPM_STA1/07: Wed 14:35–16:15 P304,*O. Černý*

BPM_STA1/08: Thu 14:35–16:15 P106,*S. Zlatošová*

BPM_STA1/09: Thu 11:05–12:45 P201,*T. Zdražil*

BPM_STA1/10: Thu 12:50–14:30 P106,*S. Zlatošová*

BPM_STA1/11: Wed 18:00–19:35 P312

BPM_STA1/12: Thu 7:40–9:15 P103,*M. Matulová*

BPM_STA1/13: Thu 12:50–14:30 aula Vinařská,*T. Zdražil*

BPM_STA1/14: No timetable has been entered into IS.

BPM_STA1/15: Wed 12:50–14:30 aula Vinařská

BPM_STA1/16: No timetable has been entered into IS.*M. Králová*

BPM_STA1/17: Mon 16:20–17:55 aula Vinařská,*M. Králová*

BPM_STA1/18: Fri 12:50–14:30 P304,*M. Králová*

BPM_STA1/19: Thu 14:35–16:15 P312,*T. Zdražil*

BPM_STA1/20: Thu 9:20–11:00 P103,*M. Matulová*

BPM_STA1/21: Wed 8:30–10:05 S311

BPM_STA1/22: Wed 11:05–12:45 aula Vinařská,*M. Matulová*

BPM_STA1/23: Thu 11:05–12:45 P303,*S. Zlatošová*

BPM_STA1/24: Thu 16:20–17:55 S310

BPM_STA1/T01A: No timetable has been entered into IS.

BPM_STA1/T01AA: No timetable has been entered into IS. **Prerequisites**(in Czech)- (
**PMMAT2**Mathematics II ||**PMZMII**Introduction to Mathematics II ||**BPM_MATE**Mathematics ) && (!**PMSTAI**Statistics I ) **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 14 fields of study the course is directly associated with, display
**Course objectives**- At the end of the course students should be able to:

- understand and explain the basic terms in calculus of probability and in descriptive statistics;

- apply the probability terms and the descriptive statistics terms to the description of economic events and data;

- use the terminology in the follow-up course of mathematical statistics. **Syllabus**- 1.Frequency and probability, properties of probability, examples.
- 2.Independent events, properties of independent events, sequence of independent events.
- 3. Conditional probability, total probability rule, examples.
- 4. Prior and posterior probabilities, Bayes' theorem, examples.
- 5. Descriptive statistics, quantitative variables, qualitative variables; frequency distributions in tables and graphs, examples of data sets.
- 6. Functional characteristics and numerical descriptive measures for univariate and multivariate quantitative variables, examples.
- 7. Random variable, distribution function and its properties, discrete and continous variable, transformation of random variable.
- 8. Discrete probability distribution, probability function and its properties; continuous probability distribution, probability density and its properties; random vector and its functional characteristics.
- 9. Simultaneous and marginal random vectors, independent random variables, sequence of Bernoulli trials.
- 10. Examples of discrete and continuous probability distributions and their application in the field of economics.
- 11. Numerical measures of probability distribution: expected value, variance, quantile, their properties and application in economics.
- 12. Numerical measures of simultaneous probability distribution: covariance, correlation coefficient, their properties and application in economics.
- 13. Characteristics of random vectors, inequality theorems (Markov inequality theorem, Cebysev inequality theorem).

**Literature**- BUDÍKOVÁ, Marie, Maria KRÁLOVÁ and Bohumil MAROŠ.
*Průvodce základními statistickými metodami (Guide to basic statistical methods)*. vydání první. Praha: Grada Publishing, a.s., 2010. 272 pp. edice Expert. ISBN 978-80-247-3243-5. URL info

*recommended literature*- BUDÍKOVÁ, Marie, Štěpán MIKOLÁŠ and Pavel OSECKÝ.
*Teorie pravděpodobnosti a matematická statistika.Sbírka příkladů. (Probability Theory and Mathematical Statistics.Collection of Tasks.)*. 2.dotisk 2.přeprac.vyd. Brno: Masarykova univerzita Brno, 2002. 127 pp. ISBN 80-210-1832-1. info - HANOUSEK, Jan and Pavel CHARAMZA.
*Moderní metody zpracování dat :matematická statistika pro každého*. 1. vyd. Praha: Grada, 1992. 210 s. ISBN 80-85623-31-5. info - HINDLS, Richard, Stanislava HRONOVÁ and Jan SEGER.
*Statistika pro ekonomy*. 4. vyd. Praha: Professional publishing, 2003. 415 s. ISBN 8086419525. info

*not specified*- BUDÍKOVÁ, Marie, Maria KRÁLOVÁ and Bohumil MAROŠ.
**Teaching methods**- Theoretical lectures; practical seminar sessions;
**Assessment methods**- Lecture with a seminar

Graded credit requirements:

1. Adequately active participation at seminars

2. Success at progress test

3. Success at final test

A <90,100); B <80,90); C (<70,80); D <60,70); E <50,60); F <0,50) Any copying, recording or leaking tests, use of unauthorized tools, aids and communication devices, or other disruptions of objectivity of exams (credit tests) will be considered non-compliance with the conditions for course completion as well as a severe violation of the study rules. Consequently, the teacher will finish the exam (credit test) by awarding grade "F" in the Information System, and the Dean will initiate disciplinary proceedings that may result in study termination. **Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- Study Materials

The course is taught annually.

General note: Nezapisují si studenti, kteří absolvovali předmět PMSTAI. **Listed among pre-requisites of other courses**

- Enrolment Statistics (Autumn 2012, recent)
- Permalink: https://is.muni.cz/course/econ/autumn2012/BPM_STA1