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 | |||
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Login | Name | Tuitor | Teacher giving lectures |

TUR30 | RNDr. Matěj Turčan, Ph.D. |

Extent of instruction for forms of study | ||
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Form of study | Way of compl. | Extent |

Full-time | Credit | 2+2 |

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.

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.

Subject has no prerequisities.

Subject has no co-requisities.

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.

Task name | Type of task | Max. number of points
(act. for subtasks) | Min. number of points |
---|---|---|---|

Exercises evaluation | Credit | 85 | 0 |

Show history

Academic year | Programme | Field of study | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | 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 |

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