Studying at the University of Verona

Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.

Study Plan

The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.

1° Year

ModulesCreditsTAFSSD
6
A
MAT/02
6
A
MAT/05
12
A
ING-INF/05
6
A
FIS/01
6
A
INF/01
6
A
MAT/06
12
A
INF/01
6
E
-

2° Year  activated in the A.Y. 2015/2016

ModulesCreditsTAFSSD
12
B
INF/01
6
C
MAT/05
6
C
MAT/08
6
C
FIS/01
6
B
INF/01
6
B
ING-INF/05
12
B
ING-INF/05
Un insegnamento a scelta tra i seguenti
6
B
INF/01
6
B
INF/01

3° Year  activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
12
B
ING-INF/05
6
B
INF/01
6
B
INF/01
Un insegnamento a scelta tra i seguenti
12
B
INF/01
12
B
INF/01
6
F
-
12
D
-
Prova finale
6
E
-
activated in the A.Y. 2015/2016
ModulesCreditsTAFSSD
12
B
INF/01
6
C
MAT/05
6
C
MAT/08
6
C
FIS/01
6
B
INF/01
6
B
ING-INF/05
12
B
ING-INF/05
Un insegnamento a scelta tra i seguenti
6
B
INF/01
6
B
INF/01
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
12
B
ING-INF/05
6
B
INF/01
6
B
INF/01
Un insegnamento a scelta tra i seguenti
12
B
INF/01
12
B
INF/01
6
F
-
12
D
-
Prova finale
6
E
-

Legend | Type of training activity (TTA)

TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Probability and Statistics (2014/2015)

Teaching code

4S02843

Credits

6

Coordinator

Immacolata Oliva

Language

Italian

Also offered in courses:

Scientific Disciplinary Sector (SSD)

MAT/06 - PROBABILITY AND STATISTICS

Seminars 0

The teaching is organized as follows:

Teoria

Credits

4

Period

II sem.

Academic staff

Immacolata Oliva

Laboratorio

Credits

2

Period

II sem.

Academic staff

Bruno Gobbi

Learning outcomes

Module: Theory
-------

The goal of the course is to introduce theoretical basis of probability, in order to solve the problem of modelling actual phenomena by using stochastic methods, especially applied to Statistics.

At the end of the course, the student should be able to deal with actual problems and to provide for the corresponding solution, by using probabilistic techniques.

Program

Module: Theory
-------

Introduction to probability theory: historical roots, three kinds of definition. Revision of set theory. Axiomatic definition of probability: outcomes, random experiments, sample space. Conditional probability: total probability theorem, law of compound probabilities, Bayes theorem. Stochastic independence.
Random variables, discrete density function and cumulative distribution function. Relationship among random variables and funcions with random variables. Mean, variance and n-th moment of random variables. Some famous problems: the gambler ruin problem, the birthday paradox, St. Petersburg paradox. Models of discrete distributions: Bernoulli distribution, uniform distribution, binomial distribution, geometric distribution, hyper-geometric distribution, Poisson distribution. The Bernoulli scheme and the approximation of a Poisson random variable by a binomial one. Examples of continuous distributions: exponential distribution, Gaussian distribution, Gamma distribution, Chi-squared distribution. Characteristic function and (moment) generating function. Law of large numbers and central limit theorem. Random vectors and marginal distributions. Introduction to descriptive statistics. Linear regression. Inferential statistics: parameters estimation and statistical hypothesis testing.

Bibliography

Reference texts
Activity Author Title Publishing house Year ISBN Notes
Teoria P. Baldi Calcolo delle Probabilità e Statistica (Edizione 2) Mc Graw-Hill 1998 8838607370
Teoria G. Cicchitelli Statistica: principi e metodi (Edizione 2) Pearson Italia, Milano 2012

Examination Methods

Module:
-------

Written and computer exam .


Taking into account the structure of the course, the exam is divided into two parts: a theory module (20 points) and a lab module (10 points), to be held together.

The exam is passed if a student gets at least 12 points in the former module and at least 6 points in the latter one. Students who do not reach the pass mark, even just in one of the two modules, must repeat the whole test, during one of the next sessions .

It is forbidden to use textbooks, manuals or notes during the exam.
Students may refer to a formulary, delivered by teachers together with the exam paper.

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

Teaching materials e documents