ECTS - University of Pisa
| Modules | Area | Type | Hours | Teacher(s) | |
| STATISTICA I | MAT/06 | LEZIONI | 60 |
|
Risultati principali e di base di calcolo delle probabilità e di statistica matematica.
The student will acquire knowledge on the basic ideas of Probability and Statistics and will be able to apply these ideas to statistical analysis. The student will develop the ability to correctly apply these mathematical tools to some very simple physical and engineering problems
Prova scritta e prova orale.
In the written exam (2 hours, two or three mandatory exercises) the student must demonstrate her/his ability to put into practice the ideas and tools learnt during the course and apply them to some simple problems. During the oral exam the student must be able to demonstrate his/her knowledge of the course material, to explain correctly the topics presented during the course and to discuss thoughtfully the main ideas.
Methods:
Further information:
Final written exam: 75% Final oral exam: 25%
Saper tradurre un problema formulato nel linguaggio comune in uno schema di metodologie statistiche e di elementari calcoli di probabilità. Conoscere le basi concettuali della probabilità e della statistica.
Soluzione di esercizi nella prova scritta, riproduzione di concetti e qualche dimostrazione nella prova orale.
Elementi di analisi matematica.
Esame approfondito degli esercizi proposti, studio delle basi teoriche.
Delivery: face to face
Learning activities:
Attendance: Advised
Teaching methods:
Probability: definition, conditional probability, independence, random variables, expected value, variance, correlation. Limit theorems: moment generating function, Gaussian random variables, law of large numbers, central limit theorem. Statistics: random samples, estimators, confidence intervals, confidence intervals for Gaussian populations, hypothesis testing for mean, variance and comparison of means.
S. Ross, Probabilità e statistica per l'ingegneria e le scienze, Apogeo.
Required reading: S. Ross, Introduction to Probability and Statistics for Engineers and Scientists. Exercise sheets by the lecturer
Scritto e orale.
