- Docente: Maurizio Brizzi
- Credits: 6
- SSD: SECS-S/01
- Language: English
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Quantitative Finance (cod. 8854)
Learning outcomes
At the end of the course the student is introduced to the basic concepts of probability, with particular reference to their role in statistics. In particular, the student is able to compute the probability of complex events using fundamental probability axioms and theorems, analyze standard examples of random variables and compute their moments.
Course contents
The main discrete and continuous probabilistic distributions. Essential concepts of statistical inference. Point estimation and confidence intervals. Statistical tests about normal (Gaussian) parameters. Tests about frequencies. One-factor and multiple ANOVA. Nonparametric tests of goodness-of-fit, independence, two-sample comparison.
Readings/Bibliography
A.M.Mood, F.A.Graybill, D.C.Boes, Introduction to the Theory of Statistics, 3rd
Edition Paperback
–
International Edition.
G.Casella, R.L.Berger, Statistical inference.
L.Wasserman, All of Statistics: A
Concise Course in Statistical Inference. Springer Texts in
Statistics.
Teaching methods
Lessons will include a theoretical part and some applications and exercises.
Assessment methods
Written test about all of the topics faced during the course, composed by three esercises. The first exercise is related to probability, and ranges between 10 and 12 points. The other exercises are related to statistical inference, and are valued 9-10 points each. Integrative oral conversation (optional). Candidates have the possibility to reject a positive result only once.
Teaching tools
Some detailed learning sheets will be available to the students. A preliminary version of them is already available on the web platform AMS Campus. All these sheets are written in English.
Office hours
See the website of Maurizio Brizzi