29596 - PROBABILITY AND STATISTICS

Anno Accademico 2024/2025

  • Docente: Edoardo Redivo
  • Crediti formativi: 3
  • SSD: SECS-S/01
  • Lingua di insegnamento: Inglese
  • Modalità didattica: Convenzionale - Lezioni in presenza
  • Campus: Bologna
  • Corso: Laurea Magistrale in Economics and Econometrics (cod. 5977)

Contenuti

Probability concepts:

Review of the axiomatic approach to probability Total Probability Law and Bayes Theorem

Discrete and continuous random variables and properties of some common families of probability distributions

Joint and marginal distributions, conditional distributions and independence, expected values, covariance and correlation

Statistical inference

Random sampling and sampling distributions. The likelihood function.

Estimation theory

Point estimation: finite estimator properties. Interval estimation. Moments and maximum likelihood estimation method. Asymptotic properties of the maximum likelihood estimators.

Hypothesis tests

Statistical tests about the mean, a proportion, the variance of a population. Approximate test on a probability. Test on the difference between two means. Test on the difference between two proportions. Test on the difference between two variances. The concept of p-value. Chi square test.

 

Testi/Bibliografia

Larsen, R. J. & Marx, M. L. (2018). An Introduction to Mathematical Statistics and Its Applications. Pearson.

Casella, G. & Berger, R.L. (2024). Statistical Inference. Chapman & Hall.

Grimmett, G. & Welsh, D. (2014). Probability. An Introduction. Oxford University Press.

Metodi didattici

Classroom lectures.

Modalità di verifica e valutazione dell'apprendimento

Written multiple-choice assessment.

Strumenti a supporto della didattica

Teacher's notes available on Virtuale.

Orario di ricevimento

Consulta il sito web di Edoardo Redivo