Probability and Statistics

The course is meant to provide the student with a deep knowledge of probability theory and with the statistical methods on which physics and data modelling are grounded. Besides giving the definitions and the concepts of frequentist and Bayesian interpretation of probability, operative tools will be discussed, such as the law of large numbers, the central limit theorem, the use of generating functions and the principle of maximum entropy.

The student will be able to use the concepts of probability theory to analyse data, make statistical inference and statistical tests. Moreover, they will be confident with the theoretical bases of statistical mechanics and with its tools.