Metodi statistici per l'impresa - ENG

STATISTICAL METHODS FOR INDUSTRY AND BUSINESS

Prof. Caterina May

Course Code: EC0024
Subject code: SECS-S/01
6 ECTS – 48 hours
Location: Novara




Educational aims
The goal of the course is the study of statistical inference and applications, with focus on statistical methods for industry and on quality control.

Content of the course
1.    Elements of probability:
The random experiments and the probability space. Probability. Conditional probability and independence.
Discrete and continuous random variables. Cumulative distribution function, mean, variance and moments.
Models for distributions of discrete and continuous random variables.
Random vectors: joint distribution, conditional distributions. Conditional mean and variance.
Gaussian vectors.

2.    Sampling and sampling distributions.
Central limit theorem.

3.    Statistical inference:
Estimators and properties.
Point estimates and confidence intervals.
Maximum likelihood method.
Parametric tests of hypothesis.
Empirical distribution function.
QQ-plot.
Testing the normality of a distribution.

4.    Applications to statistical process control for quality improvement.
Control charts for variables and for attributes.

5.    Linear regression model:
inference and applications.
Dummy variables.

Prerequisites

Mathematics I and II and Statistics.

Course Texts
Material provided by the teachers and some parts of the following books.
Giuseppe Cicchitelli. Statistica Principi e Metodi
Pearson 2/ed (2012)

Douglas C. Montgomery. Controllo statistico della qualità 2/ed
McGraw-Hill (2006)

Giuseppe Cicchitelli. Probabilità e statistica
Maggioli Editore (2001)

For prerequisites and more examples and exercises:

Newbold, Carlson, Thorne. Statistica.
Pearson.

Teaching methods

Lessons with both theory and exercises. Further details will be given during the lessons and on the course website (https://eco.dir.unipmn.it/).

Examination
Written exam (with both theory questions and exercises). Further details will be given during the lessons and on the course website.