639-0907/01 – Theory of Probability and Mathematical Statistics (TPMS)

Gurantor departmentDepartment of Quality ManagementCredits10
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction1996/1997Year of cancellation2012/2013
Intended for the facultiesFMT, HGFIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
TOS40 prof. RNDr. Josef Tošenovský, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+0
Combined Credit and Examination 2+0

Subject aims expressed by acquired skills and competences

Students will demonstrate knowledge of selected methods of the theory of probability and mathematical statistics. They will be able to carry out analyses of real-life data and justify theoretically all necessary operations.

Teaching methods

Individual consultations
Project work

Summary

The subject follows up on probability theory. It uses the tools of probability to present estimation of population parameters, hypothesis testing, modelling of technological processes with regression models and their assessment by correlation analysis. Multivariate regression is taught under the required theoretical conditions. Correlation analysis shows ways of measuring dependence for various types of variables.

Compulsory literature:

JAMES, G., D. WITTEN, T. HASTIE and R. TIBSHIRANI. An Introduction to Statistical Learning. NY: Springer, 2013. ISBN 978-1-4614-7138-7. KUTNER, M. H.,CH. J. NACHTSHEIM and J. NETER. Applied Linear Regression Models. NY:McGraw-Hill, 2004. ISBN 0-07-301344-7. BOX,G. E. P.,HUNTER,W.G. and J.S. HUNTER. Statistics for Experimenters. NY: Wiley&Sons, 1978. ISBN 0-471-09315-7.

Recommended literature:

MONTGOMERY, D. C. Applied Statistics and Probability for Engineers. NY: Wiley, 2010. ISBN-13 978-1-1185-3971-2. SHESKIN, D. J. Handbook of Parametric and Nonparametric Statistical Procedures. NY: Chapman and Hall, 2003. ISBN 1-58488-440-1.

Way of continuous check of knowledge in the course of semester

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

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Conditions for subject completion

Combined form (validity from: 1960/1961 Summer semester, validity until: 2012/2013 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2010/2011 (P3925) Management of Industrial Systems P Czech Ostrava Choice-compulsory study plan
2010/2011 (P3925) Management of Industrial Systems K Czech Ostrava Choice-compulsory study plan
2010/2011 (P3925) Management of Industrial Systems P Czech Ostrava Optional study plan
2010/2011 (P3925) Management of Industrial Systems K Czech Ostrava Optional study plan
2009/2010 (P3925) Management of Industrial Systems P Czech Ostrava Choice-compulsory study plan
2009/2010 (P3925) Management of Industrial Systems K Czech Ostrava Choice-compulsory study plan
2009/2010 (P3925) Management of Industrial Systems P Czech Ostrava Optional study plan
2009/2010 (P3925) Management of Industrial Systems K Czech Ostrava Optional study plan
2008/2009 (P3925) Management of Industrial Systems P Czech Ostrava Choice-compulsory study plan
2008/2009 (P3925) Management of Industrial Systems K Czech Ostrava Choice-compulsory study plan
2008/2009 (P3607) Civil Engineering (3607V012) Municipal Engineering and Construction K Czech Ostrava Optional study plan
2008/2009 (P3925) Management of Industrial Systems P Czech Ostrava Optional study plan
2008/2009 (P3925) Management of Industrial Systems K Czech Ostrava Optional study plan
2007/2008 (P3925) Management of Industrial Systems (3902V777) Řízení jakosti P Czech Ostrava Choice-compulsory study plan
2007/2008 (P3925) Management of Industrial Systems (3902V888) Řízení a ekonomika podniku P Czech Ostrava Choice-compulsory study plan
2007/2008 (P3925) Management of Industrial Systems (3902V999) Automatizace technologických procesů P Czech Ostrava Choice-compulsory study plan
2007/2008 (P3925) Management of Industrial Systems (3902V777) Řízení jakosti K Czech Ostrava Choice-compulsory study plan
2007/2008 (P3925) Management of Industrial Systems (3902V888) Řízení a ekonomika podniku K Czech Ostrava Choice-compulsory study plan
2007/2008 (P3925) Management of Industrial Systems (3902V999) Automatizace technologických procesů K Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V777) Řízení jakosti P Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V888) Řízení a ekonomika podniku P Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V999) Automatizace technologických procesů P Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V777) Řízení jakosti K Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V888) Řízení a ekonomika podniku K Czech Ostrava Choice-compulsory study plan
2006/2007 (P3925) Management of Industrial Systems (3902V999) Automatizace technologických procesů K Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner