# 639-0810/01 – 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 Requirement Choice-compulsory Year 1 Semester winter Study language Czech Year of introduction 2004/2005 Year of cancellation 2018/2019 Intended for the faculties FMT Intended for study types Follow-up Master
Instruction secured by
HAL37 Ing. Mgr. Petra Halfarová, Ph.D.
TOS012 Ing. Filip Tošenovský, 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 3+2
Part-time Credit and Examination 22+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. 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. Montgomery, D. C.: Applied Statistics and Probability for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-50578-6

Test Essay

None

### Other requirements

There are no additional requirements for students.

### 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: 1960/1961 Summer semester, validity until: 2011/2012 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 40 (40) 0
Project Project 12  0
Written exam Written test 28  0
Examination Examination 60 (60) 0
Written examination Written examination 50  0
Oral Oral examination 10  0
Mandatory attendence parzicipation:

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2015/2016 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2014/2015 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2013/2014 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2012/2013 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2011/2012 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2010/2011 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2009/2010 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2008/2009 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2007/2008 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T031) Diagnostics and Design of Materials K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T030) Engineering Materials K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T033) Foundry Technologies K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T025) Thermal Engineering and Industrial Ceramics K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T031) Diagnostics and Design of Materials P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T030) Engineering Materials P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T033) Foundry Technologies P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T025) Thermal Engineering and Industrial Ceramics P Czech Ostrava 1 Choice-compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner