Academic Year 2018/2019
- Docente: Paola Monari
- Credits: 10
- SSD: SECS-S/01
- Language: Italian
- Moduli: Patrizia Agati (Modulo 1) Paola Monari (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: First cycle degree programme (L) in Statistical Sciences (cod. 8873)
Learning outcomes
By the end of the course, the student should know the main topics in statistical inference. Specifically, the student should be able to: 1- derive an estimator and its properties; 2- use estimating methods; 3- define and verify parametric and non parametric statistical hypothesis in simple contexts; 4- build confidence intervals.
Course contents
Random sampling, sample space and random variables
Probability density functions of statistics
The likelihood concept
Point estimation: methods for finding and methods for evaluating estimators. Maximum likelihood and least squares estimates
Interval estimation
Testing statistical hypotheses: Fisher significance theory and Neyman-Pearson theory
Test-statistics of comparing means, proportions, variances, distributions.
Testing statistical hypotheses: Fisher significance theory and Neyman-Pearson theory
Test-statistics of comparing means, proportions, variances, distributions
Distribution free tests
Readings/Bibliography
Teacher's notes
Text book
G. Cicchitelli, Statistica: principi e metodi, Pearson, Milano, 2012
A. Montanari, P. Agati, DG.Calo, Statistica con esercizi commentati e risolti, OPEN, Masson, 1998
Teaching methods
Classroom
Lab classes
Assessment methods
Written examen including 5-6 numerical and therical exercises
Oral examen about all the topics of the program with particular attention on the results of written examen
Teaching tools
Teacher's notes
Text books
Lab classes
Office hours
See the website of Paola Monari
See the website of Patrizia Agati