# 714-0589/01 – Stochastic Methods of Modelling (S)

 Gurantor department Department of Mathematics and Descriptive Geometry Credits 5 Subject guarantor Mgr. Marcela Rabasová, Ph.D. Subject version guarantor Mgr. Marcela Rabasová, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2010/2011 Year of cancellation 2019/2020 Intended for the faculties HGF, USP Intended for study types Follow-up Master
Instruction secured by
KAH14 Mgr. Marcela Rabasová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 6+6

### Subject aims expressed by acquired skills and competences

The aim of the course is to provide theoretical and practical foundation for understanding the importance of basic probability concepts and teach the student statistical thinking as a way of understanding the processes and events around us, to acquaint him with the basic methods of gathering and analyzing statistical data, and to show how to use these general procedures in other subjects of study and in practice. Graduates of this course should be able to: • understand and use the basic terms from the combinatorics and probability theory; • formulate questions that can be answered by the data and understand principles of collecting, processing and presentation of the data; • select and use appropriate statistical methods for data analysis; • propose and evaluate conclusions (inference) and make predictions using the data. The graduate of this course should be able: • understand and use basic notions in combinatorics and probability theory • formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results • choose and use suitable statistical methods for data analysis • suggest and evaluate conclusions (inference) and predictions obtained from data

### Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

### Summary

Combinatorics and probability. Random events, operations with them, sample space. Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events. Random variable and its characteristics. Basic types of probability distributions of discrete random variables. Basic types of probability distributions of continuous random variables. Random vector, probability distribution, numerical characteristics. Statistical file with one factor. Grouped frequency distribution. Statistical file with two factors. Regression and correlation. Random sample, point and interval estimations of parameters. Hypothesis testing.

### Compulsory literature:

Dummer R. M.: INTRODUCTION TO STATISTICAL SCIENCE. VŠB-TU Ostrava 1998; ISBN 80-7078-497-0

### Recommended literature:

Dummer R. M.: INTRODUCTION TO STATISTICAL SCIENCE. VŠB-TU Ostrava 1998; ISBN 80-7078-497-0

### Way of continuous check of knowledge in the course of semester

Two tests, 1 project - data analysis.

### E-learning

http://stattrek.com/tutorials/statistics-tutorial.aspx

### Other requirements

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### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Combinatorics 2. Introduction to probability 3. Conditional probability and independent events. Bayes' theorem. Theorem of total probability 4. Random variable and its characteristics 5.-7. The basic distributions of discrete and continuous random variable 8. Random vector 9. Statistical file with one factor 10. Statistical file with two factors 11. Regression and correlation 12. Point and interval estimates of parameters 13. Hypothesis testing 14. Reserve

### Conditions for subject completion

Full-time form (validity from: 2009/2010 Winter semester, validity until: 2019/2020 Summer semester)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 30  10
Examination Examination 70  21
Mandatory attendence parzicipation:

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2017/2018 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2016/2017 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Compulsory study plan
2016/2017 (N1701) Physics (1702T001) Applied Physics P Czech Ostrava 1 Compulsory study plan
2015/2016 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Compulsory study plan
2014/2015 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Compulsory study plan
2013/2014 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Ostrava 1 Compulsory study plan
2013/2014 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Most 1 Compulsory study plan
2013/2014 (N1701) Physics (1702T001) Applied physics P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry P Czech Ostrava 1 Compulsory study plan
2012/2013 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Ostrava 1 Compulsory study plan
2012/2013 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Most 1 Compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry P Czech Ostrava 1 Compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Ostrava 1 Compulsory study plan
2011/2012 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Most 1 Compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Ostrava 1 Compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry K Czech Most 1 Compulsory study plan
2010/2011 (N2102) Mineral Raw Materials (3902T033) System Engineering in Raw Materials Industry P Czech Ostrava 1 Compulsory study plan

### Occurrence in special blocks

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