151-0501/01 – Probability and Statistics A ()

Gurantor department	Department of Mathematical Methods in Economics	Credits	4
Subject guarantor	RNDr. Matěj Turčan, Ph.D.	Subject version guarantor	RNDr. Matěj Turčan, Ph.D.
Study level	undergraduate or graduate	Requirement	Compulsory
Year	2	Semester	winter
		Study language	Czech
Year of introduction	1992/1993	Year of cancellation	2007/2008
Intended for the faculties	EKF	Intended for study types	Master

Instruction secured by
Login	Name	Tuitor	Teacher giving lectures
TUR30	RNDr. Matěj Turčan, Ph.D.

Extent of instruction for forms of study
Form of study	Way of compl.	Extent
Full-time	Credit	2+2

Subject aims expressed by acquired skills and competences

Teaching methods

Summary

The introductory course Probability and Statictics A deals with the basic problems of probability and statistics. It gives the base for ability to describe random processes in Economics by means of random variable and random vector. It builds the base of Descriptive statistics.

Compulsory literature:

1. Mendenhall, W. - Sincich, T.: Statistics for Engineering and the Sciences. New York, Macmillan Publishing Company, 1992. ISBN 0-02-946563-X. 2. Newbold, P.: Statistics for Business and Economics. London, Prentice-Hall Int. Lim., 1991. ISBN 0-13-850645-0. 3. Kvanli, A.H. - Pavur, R.J. - Guynes, C.S.: Introduction to Business Statistics - A Computer Integrated, Data Analysis Approach. New York, South- Western College Publishing, 2000. ISBN 0-324-01207-1. 4. Walpole, R. A.: Introduction to Statistics. New York, Macmillan Publishers, 1989. ISBN 0-02-424150-4.

Recommended literature:

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Algebra of Events (Random Event, Event Relations and Operations, Sample Space) 2. Partition of the Sample Space. Field of Events. Concept of Probability (Axioms, Theorems, Definitions). 3. Probability and Event Operations. Conditional Probability. Independent Event. 4. Succession of Independent Events. Total Probability. Bayes' Rule. 5. Random Variable - definition, types. Probability Distribution - Distribution Function, Frequency Functions. 6. Discrete Probability Distributions - Uniform, Binomial, Hypergeometric, Geometric, Pascal's, Poisson'n,...Approximation of Binomial Distribution. 7. Continuous Probability Distributions - Uniform, Exponential. 8. Normal Distribution. Special Distributions (Pearson's, Student's, Fisher- Snedecor's). 9. Descriptive Measures of Random Variables I. Classification of Descriptive Measures. 10. Descriptive Measures of Random Variables II. Moment Generating Function. 11. Random Vector - definition, types. Join, Marginal and Conditional Probability Distributions. 12. Descriptive Measures of Random Vector. 13. Regression Polygons and Lines. Limit Theorems. 14. Set of Values of One Variable - Range, Frequency Distribution, Cumulative, Relative, Cumulative Relative Frequencies and its Graphs.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)

Task name	Type of task	Max. number of points (act. for subtasks)	Min. number of points	Max. počet pokusů
Exercises evaluation	Credit	85	0	3

Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic year	Programme	Branch/spec.	Form	Study language	Tut. centre	Year	Type of duty
2006/2007	(M6202) Economic Policy and Administration	(6202T010) Finance	P	Czech	Ostrava	2	Compulsory	study plan
2005/2006	(M6202) Economic Policy and Administration	(6201T004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2004/2005	(M6202) Economic Policy and Administration	(6201T004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2004/2005	(M6202) Economic Policy and Administration	(6201T004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2004/2005	(M6208) Business and Management	(6201T004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2003/2004	(M6202) Economic Policy and Administration	(6201T004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2003/2004	(B6202) Economic Policy and Administration	(6201R004) Economics	P	Czech	Ostrava	2	Compulsory	study plan
2003/2004	(B6208) Economics and Management	(6201R004) Economics	P	Czech	Ostrava	2	Compulsory	study plan

Occurrence in special blocks

Block name	Academic year	Form of study	Study language	Year	W	S	Type of block	Block owner

Assessment of instruction

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