Training and Research

PhD Programme Courses/classes

Credits

2

Language

English

Class attendance

Free Choice

Location

VERONA

Learning objectives

The purpose of the modules is to explain, at an intermediate level, the basis of probability theory and some of its more relevant theoretical features.
The topics will be illustrated and explained through many examples.
Students are expected to acquire the language and the concepts needed to better understand the probabilistic models and the statistical techniques used in their subjects.

Prerequisites and basic notions

There are not particular learning requirements. It is advisable that students have already been introduced (though at an elementary level) to probability and statistics. It is also advisable that students have some confidence with elementary set theory and mathematical calculus.

Program

- Random experiments, events, event trees.
- Algebras and sigma-algebras, axiomatic definition of probability, probability spaces, properties of probability.
- Conditional probability, Bayes theorem, stochastic independence for events.
- Random variables, measurability, cumulative distribution function.

Bibliography

Visualizza la bibliografia con Leganto, strumento che il Sistema Bibliotecario mette a disposizione per recuperare i testi in programma d'esame in modo semplice e innovativo.

Didactic methods

Lessons will be delivered via Zoom. Recordings will also be available. Presence to the lessons is not mandatory.
The calendar of the lessons is the following:
5 October 2022, 14:00-16:00
6 October 2022, 9:00-12:00
12 October 2022, 14:00-16:00
13 October 2022, 9:00-10:00

Learning assessment procedures

The final assessment will be through a written paper.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE