Course aims:
The aim of the subject is to provide the theoretical foundation for understanding and quantifying uncertainty, enabling students to model and analyze random phenomena and draw reliable conclusions. The course helps the students apply probability distributions and statistical inferences to the analysis or the evaluations of real data. We provide theoretical foundation for various important decision-making methods in several areas of science. Students develop the ability to apply the knowledge acquired during the course and to use probabilistic models in concrete situations, recognizing the appropriate frameworks and analytical tools.
Course contents:
Events and operations on events. Probability. Random variables. Properties of random variables. Laws of large numbers. Central limit theorem.
Statistics. Sample, ordered sample. Statistical estimation. Hypothesis testing. Correlation and regression.