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
E
-
6
A
INF/01
6
C
MAT/06
12
A
INF/01

2° Year  activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
12
B
INF/01
6
C
MAT/05
6
C
FIS/01
One course to be chosen among the following
6
B
INF/01
6
B
INF/01
12
B
INF/01
6
B
ING-INF/05
12
B
ING-INF/05

3° Year  activated in the A.Y. 2017/2018

ModulesCreditsTAFSSD
12
B
ING-INF/05
One course to be chosen among the following
6
B
INF/01
6
B
INF/01
6
B
INF/01
6
B
INF/01
6
B
INF/01
6
F
-
12
D
-
Prova finale
6
E
-
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
12
B
INF/01
6
C
MAT/05
6
C
FIS/01
One course to be chosen among the following
6
B
INF/01
6
B
INF/01
12
B
INF/01
6
B
ING-INF/05
12
B
ING-INF/05
activated in the A.Y. 2017/2018
ModulesCreditsTAFSSD
12
B
ING-INF/05
One course to be chosen among the following
6
B
INF/01
6
B
INF/01
6
B
INF/01
6
B
INF/01
6
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 (2015/2016)

Teaching code

4S02843

Credits

6

Coordinator

Bruno Gobbi

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 semestre

Academic staff

Bruno Gobbi

Laboratorio di statistica

Credits

2

Period

II semestre

Academic staff

Bruno Gobbi

Learning outcomes

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

Program

Descriptive statistics. Means, median, quantiles.
Variance and other statistics to measure the variability of a distribution.
Simmetry: Skewness of Pearson.
Independence test in crossed tables.
Linear Regression.
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.
Random variables, discrete density function and cumulative distribution function. Mean, variance and n-th moment of random variables. Models of discrete distributions: Bernoulli distribution, uniform distribution, binomial distribution, geometric distribution, hyper-geometric distribution, Poisson distribution. Examples of continuous distributions: exponential distribution, Gaussian distribution. Characteristic function and (moment) generating function.
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 D. OLIVIERI Fondamenti di statistica (Edizione 3) Cedam, Padova 2007
Teoria D. OLIVIERI Temi svolti di statistica (2001-2007) Cedam, Padova 2008

Examination Methods

Written and computer exam by using the R programming language.

The exam is divided into two parts: a theory module (20 points) and a lab module (10 points), to be held together.

It is forbidden to use textbooks, manuals or notes during the exam.
Students may use a scientific calculator and refer to a formulary delivered by teacher 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