Gurantor department | Department of Geological Engineering | Credits | 4 |

Subject guarantor | doc. RNDr. František Staněk, Ph.D. | Subject version guarantor | doc. RNDr. František Staněk, Ph.D. |

Study level | undergraduate or graduate | Requirement | Compulsory |

Year | 2 | Semester | summer |

Study language | English | ||

Year of introduction | 2018/2019 | Year of cancellation | |

Intended for the faculties | HGF | Intended for study types | Bachelor, Follow-up Master |

Instruction secured by | |||
---|---|---|---|

Login | Name | Tuitor | Teacher giving lectures |

STA22 | doc. RNDr. František Staněk, Ph.D. |

Extent of instruction for forms of study | ||
---|---|---|

Form of study | Way of compl. | Extent |

Full-time | Credit and Examination | 2+2 |

Part-time | Credit and Examination | 8+8 |

This course is dedicated to finding solutions of probabilistic and statistical problems. These problems can arise from other courses as well as from practice. The main emphasis lays in explanation of fundamental principles of probabilistic and statistical methods and of their general properties. The students learn how to decide which procedure is a suitable tool for solving a specific problem.
The first part of the course deals with basic probabilistic notions and with the way in which to understand these notions from both theoretical and practical points of view.
In the second part of the course the students learn the statistical way of thinking as a mean of understanding real-life processes. The basic methods of collecting and analysing statistical data are introduced. The students are taught how to use these general methods to solve the problems arising from other courses of their study and from practice.
The students learn how to use existing software specialized for statistical computations, too.

Lectures

Tutorials

The introductory course Applied Statistics deals with the basic problems of
probability and statistics. It gives the base for ability to describe random processes by means of random variable and random vector. The course deals with the basic problems of descriptive statistics, methods of statistical inference, tests of hypotheses and regression and correlation analysis for one- or multi-dimensional statistical set of data.

Briš, R. PROBABILITY AND STATISTICS FOR ENGINEERS, Ostrava, VŠB - TU, 2011 (http://homel.vsb.cz/~bri10/).
Mann, P. S. Introductory Statistics. Wiley, 2010.
Montgomery, D. C. Applied Statistics and Probability for Engineers. Wiley, 2003.
Hodges, J. L., Lehmann, E. L. Basic Concepts of Probability and Statistics. SIAM, 2005.

Barnett, V. Environmental Statistics. Methods and Applications. Wiley, 2003.
Hammer, R, Harper, D. Paleontological Data Analysis. Malden, MA: Blackwell Pub, 2006.
Meier, P. C., Zünd, R., E. Statistical Methods in Analytical Chemistry. Wiley, 2000.
Benjamin, J. R., Cornell, C. A. Probability, Statistics, and Decision for Civil Engineers. Dover Publications, 2014.

Test.

Active participation in seminars and successful completion of written tests.

Subject has no prerequisities.

Subject has no co-requisities.

1. Combinatorics. Random experiment. Random event. Random event operations. Disjoint events.
2. Definition of probability - axiomatic, classical, geometrical, statistical.
3. Conditional probability. Total probability. Bayes' theorem. Repeated attempts.
4. Random variable, discrete random variable, continuous random variable. Probability mass function, probability density function, cumulative distribution function. Characteristics of random variables.
5. Basic types of probability distribution of discrete random variable. Basic types of probability distribution of continuous random variable.
6. Random vector, probability distribution, numerical characteristics.
7. Mathematic statistics. Statistical characteristics. Exploratory data analysis.
8. Population, random sampling, sample characteristics. Point and interval estimation.
9. Hypothesis testing. Parametric tests.
10. Nonparametric tests.
11. Verifying the type of statistical distribution.
12. Transform into normal distribution.
13. Two-dimensional statistical file. Regression and correlation analysis.

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

Credit and Examination | Credit and Examination | 100 (100) | 51 | |

Credit | Credit | 33 | 17 | |

Examination | Examination | 67 | 18 | 3 |

Show history

Conditions for subject completion and attendance at the exercises within ISP: Conditions for passing the course Credit: - Successful completion of two tests during the semester. - Elaboration and defense of assigned programs. Exam: - Successful completion of the written part of the exam. - Answering the given additional questions according to the published list of questions. Participation in exercises: To the maximum extent possible (at least for writing tests and getting to know the assignments of the programs). Others in the form of individual consultations.

Show history

Academic year | Programme | Branch/spec. | Spec. | Zaměření | Form | Study language | Tut. centre | Year | W | S | Type of duty | |
---|---|---|---|---|---|---|---|---|---|---|---|---|

2024/2025 | (B0532A330041) Applied Geology | P | English | Ostrava | 2 | Compulsory | study plan | |||||

2023/2024 | (B0532A330041) Applied Geology | P | English | Ostrava | 2 | Compulsory | study plan | |||||

2022/2023 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 2 | Compulsory | study plan | ||||

2022/2023 | (B0532A330041) Applied Geology | P | English | Ostrava | 2 | Compulsory | study plan | |||||

2021/2022 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 2 | Compulsory | study plan | ||||

2020/2021 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 2 | Compulsory | study plan | ||||

2019/2020 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 2 | Compulsory | study plan | ||||

2018/2019 | (B2110) Geological Engineering | (2101R003) Geological Engineering | P | English | Ostrava | 2 | Choice-compulsory | study plan |

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