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FEKT-BPC-PSTAcad. year: 2024/2025
The course focuses on consolidating and expanding students' knowledge of probability theory, mathematical statistics and theory of selected methods of operations research. Thus it begins with a thorough and correct introduction of probability and its basic properties. Then we define a random variable, its numerical characteristics and distribution. On this basis we then build descriptive statistics and statistical hypothesis testing problem, the choice of the appropriate test and explanation of conclusions and findings of tests. In operational research we discuss linear programming and its geometric and algebraic solutions, transportation and assignment problem, and an overview of the dynamic and probabilistic programming methods and inventories. In this section the illustrative examples are taken primarily from economics.
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Lecture
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2. Analysis of the dispersion.
3. Correlation approach, regression line.
4. After analysis of the variance or the place of it.
5. Splitting the chi-square.
6. Non-parametric tests.
7. Linear programming, simplex method.
8. Duality in linear programming tasks.
9. Traffic problem.
10. Dynamic programming.
11. Inventory models.
12. Probability dynamic programming.
Computer-assisted exercise