PROBABILITY AND STATISTICS

Degree course: 
Corso di First cycle degree in MATHEMATICS
Academic year when starting the degree: 
2018/2019
Year: 
2
Academic year in which the course will be held: 
2019/2020
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
8
Period: 
Second semester
Standard lectures hours: 
64
Detail of lecture’s hours: 
Lesson (64 hours)
Requirements: 

The content of Mathematical Analysis 1 and 2

Final Examination: 
Orale

a written test followed by a oral exam

Assessment: 
Voto Finale

The course intends to provide an introduction to the fundamental concepts of probability theory.

Probability spaces, random variables, limit theorems

Discrete probability. Combinatorial calculation. Discrete random variables.
Expected value and variance. Conditional expected value. Continuous random variables. Sequences of random variables and their convergence. Independent and identically distributed random variables. Law of large numbers. Central limit theorem.

Caravenna, Dai Pra:
Probabilità.
Un’introduzione attraverso modelli e applicazioni.
Springer

Baldi: Calcolo delle probabilità. McGraw-Hill

frontal lectures

Professors