1. Important distributions used in statistics

The first course introduces the basic concepts of classical probability theory, with particular emphasis on the interpretation of probability and the concept of random variables. Students will learn about the role of cumulative distribution function and probability density function, as well as their relationship in discrete and continuous cases. In addition, the significance of expected value, variance, and higher-order (central) moments in characterizing random variables will be discussed. Furthermore, this course will cover the most important discrete and continuous distributions used in statistics, such as the binomial distribution, Poisson distribution, normal distribution, Student's distribution, chi-square distribution, and Fisher-Snedecor distribution. 

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