Czech

Not applicable.

Students acquire needed knowledge from important parts of the probability theory and mathematical statistics, which will enable them to evaluate and develop stochastic models of technical phenomena and processes based on these methods and realize them on PC.

Rudiments of descriptive statistics, probability theory and mathematical statistics.

Not applied.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Course-unit credit requirements: active participation in seminars, mastering the subject matter, passing both written exams and semester assignment acceptance. Preparing and defending a project. Examination (written form) consists of two parts: a practical part (4 tasks related to: random vectors, conditional distribution, multivariate normal distribution, regression analysis, categorial data analysis); theoretical part (4 tasks related to basic notions, their properties, sense and practical use, and proofs of two theorems); evaluation: each task 0 to 20 points and each theoretical question 0 to 5 points; evaluation according to the total number of points (scoring 0 points for any theoretical part task means failing the exam): excellent (90 - 100 points), very good (80 - 89 points), good (70 - 79 points), satisfactory (60 - 69 points), sufficient (50 - 59 points), failed (0 - 49 points).

Random vector, moment characteristics.
Conditional distribution.
Characteristic function.
Multidimensional normal distribution - properties.
Distribution of quadratic forms.
Linear regression model (LRM) and parameter estimates in LRM
Testing hypotheses concerning linear regression model
Special case of LRM (regression line, regression parabola, polynomial regression, ANOVA models)
Weighted regression, an introduction into regression diagnostic and linearized regression model.
Goodness of fit tests with known and unknown parameters
Introduction to analysis of categorial data (contingency, chi-square test, measures of association, Fisher test).
Correlation analysis

Not applicable.

The course objective is to make students from Mathematical Engineering acquainted with theoretical background of regression analysis and with real applications of regression methods in technical practice.

Attendance at seminars is controlled and the teacher decides on the compensation for absences.

Not applicable.

Not applicable.

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Not applicable.