# 639-0402/02 – Mathematical Statistics (MS)

 Gurantor department Department of Quality Management Credits 5 Subject guarantor prof. RNDr. Josef Tošenovský, CSc. Subject version guarantor prof. RNDr. Josef Tošenovský, CSc. Study level undergraduate or graduate Study language Czech Year of introduction 2004/2005 Year of cancellation Intended for the faculties FMT Intended for study types Bachelor
Instruction secured by
BES04 prof. Ing. Petr Besta, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 12+0

### Subject aims expressed by acquired skills and competences

1) Knowledge of elementary methods of mathematical statistics: - calculation of basic characteristics, - parameter estimation, - hypothesis testing, - regression and correlation analysis 2) Real data analysis

Lectures
Seminars
Tutorials
Project work

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

### Recommended literature:

1. Montgomery, D. C.: Applied Statistics and Probability for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-50578-6

Test Essay

None

None

### Prerequisities

Subject codeAbbreviationTitleRequirement
639-0405 TP Theory of Probability Recommended

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Random Sampling 2. Data Description - Mean, Variance, Standard Deviation, Median, Others 3. Point Estimation of Parameters 4. Statistical Intervals fot a Single Sample 5. Tests of Hypotheses for a Single Sample 6. Simple Linear Regression and Correlation 7. Multiple Linear Regression 8. Test of Independence in Contingency Tables 9. Multivariate Statistical Analysis 10. Graphical Methods for Data Analysis

### Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 40 (40) 20
Project Project 12  5
Written exam Written test 28  10
Examination Examination 60 (60) 31
Written examination Written examination 50  20
Oral Oral examination 10  3
Mandatory attendence parzicipation:

Show history
Combined form (validity from: 2012/2013 Winter semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 40 (40) 20
Project Project 40  20
Examination Examination 60 (60) 31
Written examination Written examination 60  31
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2013/2014 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2012/2013 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2011/2012 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2010/2011 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2009/2010 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2008/2009 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2007/2008 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2006/2007 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2005/2006 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Třinec 2 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner