Ateneo - UPO

Introduction to the theory of probability and statistical inference

- Paolo Baldi: calcolo delle probabilità e statistica, McGraw-Hill 1998

- Sheldon M. Ross: Probabilità e Statistica per l'Ingegneria e le Scienze, Apogeo Education - Seconda Edizione 2008

Introduce the student to the theory and applications of probability with emphasis on the most important probability distributions. Introduce the student to the basic elements of statistics with emphasis on parameter estimation and hypothesis testing

Differential and integral calculus in one dimension and more

Class lectures with exercises

The exam consists of an oral examination, during which an exercise of probability is also proposed

- Basic probability theory: fundamental axioms, space with equally likely outcomes and combinatorics, conditional probability, Bayes' formula

- Random variables: discrete and continuous variables, most relevant variables, independent variables, expected value

- Limit theorems: law of large numbers, central limit theorem

- Basic inferential statistics: sample statistics, maximum likelihood estimators, hypothesis testing

Knowledge of elementary probability theory and statistics. Ability to propose simple models for data description and to infer their parameters