Unit PROBABILITY AND MATHEMATICAL STATISTICS
- Course
- Informatics
- Study-unit Code
- 55007206
- Location
- PERUGIA
- Curriculum
- In all curricula
- Teacher
- Giulianella Coletti
- Teachers
-
- Giulianella Coletti
- Hours
- 47 ore - Giulianella Coletti
- CFU
- 6
- Course Regulation
- Coorte 2016
- Offered
- 2017/18
- Learning activities
- Base
- Area
- Formazione matematico-fisica
- Academic discipline
- MAT/06
- Type of study-unit
- Obbligatorio (Required)
- Type of learning activities
- Attività formativa monodisciplinare
- Language of instruction
- Italian
- Contents
- Descriptive statistics. Basic notions of probability. Discrete and continuous distributions. Random vectors. Statistical inference
- Reference texts
- R. Scozzafava: Incertezza e Probabilita' (Zanichelli)
Alternative book
S. Ross: A FIRST COURSE IN PROBABILITY
Additional material on some topic will also be provided by the teacher. - Educational objectives
- The main aim of this teaching is to provide students able to use statistical and probabilistic models for solving problems involving uncertainty.
- Prerequisites
- In order to be able to understand the issues of the course the student must possess sufficient knowledge of the basic concepts of Mathematical Analysis (successions, series, integrals of functions of one or more variables), propositional logic and combinatorics.
- Teaching methods
- The course is organized as follows:
Lectures on all the topics of the program for 5 CFU (35 hours).
Resolution of problems relating to all program arguments made in court (1 CFU Lab equal to 12 hours). - Other information
- Possible support finalized to solve some exercizes.
- Learning verification modality
- The exam consists essentially of a written test, which lasts two hours, which is presented some problems to be solved by using probabilistic and / or statistical methods presented during the course.
If the evidence is sufficient the stdent can accept your grade or an oral test, consisting on an interview of about 30 minutes on the topics presented during the course.
On request, the exam can be done in English. - Extended program
- Descriptive Statistics: central indexes, dispertion indexes, correlation, linear regression.
Basic notions of probability: events, random variables , probability distributions, conditional probability, independence, main discrete and continuous distributions.
Random vectors.
Statistical inference: Bayes theorem, Bayesian hypotheses test, statistical sampling