639-0011/04 – Mathematical Statistics (MS)

Gurantor departmentDepartment of Quality ManagementCredits5
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageCzech
Year of introduction1993/1994Year of cancellation2011/2012
Intended for the facultiesFMTIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAL37 Ing. Mgr. Petra Halfarová, 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 0+0
Combined Credit and Examination 20+0

Subject aims expressed by acquired skills and competences

1/ výklad základních pojmů matematické statistiky, 2/ vytvoření teoretických základů potřebných k dalším předmětům, 3/ schopnost praktické aplikace přednesené látky při analýze dat.

Teaching methods

Summary

Processing and analysis of the data which represent unknown population, making models of real situations for extrapolation and interpolation. The basic chapters of mathematical statistics: numerical characteristics, theory of estimation, regression and correlation analysis, testing of hypothesis.

Compulsory literature:

1. Sheskin,D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapmanand Hall, USA 2003. 2. Parzen,E.: Modern Probability Theory and Its Applications. NY, J.Wiley, 1960.

Recommended literature:

1. Hanousek, J. - Charamza, P.: Moderní metody zpracování dat. Matematická statistika pro každého. EDUCA, Praha, 1992. 2. Rao, R.C. - Lineární metody statistické indukce a jejich aplikace, Academia, Praha, 1978. 3. Likeš, J. - Machek, J.: Matematická statistika. SNTL, Praha, 1983.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject codeAbbreviationTitleRequirement
639-0405 TP Theory of Probability Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Osnova předmětu 1. Základní a výběrový soubor, náhodný výběr 2. Výběrové charakteristiky a jejich vlastnosti 3. Věta o jednom a o dvou výběrech 4. Odhady charakteristik základního souboru 5. Testování hypotéz: parametrické testy 6. Testování hypotéz: neparametrické testy 7. Regresní analýza (lineární): odhad parametrů, testy v RA 8. Regresní analýza: identifikace vlivných bodů 9. Regresní analýza (nelineární): odhad parametrů

Conditions for subject completion

Combined form (validity from: 1960/1961 Summer 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 (40) 20
                Project Project 40  0
        Examination Examination 60 (60) 31
                Written examination Written examination 60  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2007/2008 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2006/2007 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2005/2006 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 3 Compulsory study plan
2005/2006 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2005/2006 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 3 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 3 Compulsory study plan
2004/2005 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2004/2005 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 3 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 3 Compulsory study plan
2003/2004 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2003/2004 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 3 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 3 Compulsory study plan
2002/2003 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2002/2003 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 3 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T024) Thermal Engineering (01) Tepelná technika K Czech Ostrava 3 Compulsory study plan
2001/2002 (M2109) Metallurgical Engineering (2109T020) Industrial Ceramics and Refractory Materials (02) Průmyslová keramika a žárovzdorné materiály K Czech Ostrava 3 Compulsory study plan
2001/2002 (M3909) Process Engineering (3911T023) Quality Control Management K Czech Ostrava 3 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner