Instructional goals
The purpose of the course is to provide the necessary tools for a thorough understanding of the theory of econometrics. The course goals are
1) to be able to perform estimation and testing in linear regression models, and to be comfortable with asymptotic theory for linear models,
2) to be able to implement basic cross-section and time-series methods as needed for an advanced quantitative analyses.
Prerequisites
An econometric class similar to Applied Statistics and Econometrics + Matrix Algebra.
Roughly corresponding to Appendices A-D of the Greene's book (see below)
Intended learning outcomes
Knowledge and understanding:
The course will focus on the main econometric tools to perform quantitative analyses of economic data. This course provides analytical resources that will enable students to autonomously investigate the empirical validity of economic theory and to predict economic data.
Applying knowledge and understanding:
The students will be able to:
• Carry out univariate and multivariate linear regression analyses
• Determine the possible presence of causal relationships between economic variables
• Adopt the most common estimation methods: linear projections, maximum likelihood, method of moments.
Making judgements:
We expect students to be able to set up and estimate econometric models and to interpret the outcomes in a sensible way.
Students are asked to use the software MATLAB to gain insights on the econometric methodologies and their implementation.
Learning skills:
This course will contribute to empower learners giving them the theoretical, econometric and programming tools to autonomously study economic and financial data and test economic theories.
Course Contents
Some of the topics covered are: statistic foundations, single-equation linear model, and assumptions of the OLS estimator. Asymptotic properties of OLS and ML estimators. Testing (Likelihood-ratio, Wald, Lagrange Multipliers).
Heteroskedasticity. Generalized least square estimator.
Systems of equations. Measurement Error. Simultaneous equations model. Omitted variables. Instrumental variables estimation. Models for Panel Data. Generalized Method of Moments. Time Series modeling: univariate and multivariate
Reference Books
Greene, William, Econometric Analysis, Prentice Hall
Teaching Methods
Lectures and practice sections. The practice sessions are designed to cover more deeply the subjects introduced in class. The numerical/statistical software MATLAB will be extensively used in these sessions.
Assessment Method
Final written exam : theory questions + exercise in MATLAB
Thesis assignment criteria
None
Does the syllabus cover sustainability topics?
yes, in some empirical examples on gender gap.
Week 1 Contenuto sessioni on line e on campus
The linear regression model
Week 2 Contenuto sessioni on line e on campus
A modicum of asymptotic theory for econometricians
Week 3 Contenuto sessioni on line e on campus
The Maximum likelihood estimator. Consistency and Asymptotic Normality.
Week 4 Contenuto sessioni on line e on campus
Linear model: triad of tests (LM, LR, and Wald)
Week 5 Contenuto sessioni on line e on campus
Heteroskedasticity and GLS estimator. White test and robust covariance matrix estimator
Week 6 Contenuto sessioni on line e on campus
Systems of Equations
Week 7 Contenuto sessioni on line e on campus
Endogeneity: causes and solutions (instrumental variables)
Week 8 Contenuto sessioni on line e on campus
The generalized method of moments
Week 9 Contenuto sessioni on line e on campus
Models for panel data
Week 10 Contenuto sessioni on line e on campus
introduction to time series analysis. Basic concepts: stationarity, ergodicity and the Wold representation of stochastic processes
Week 11 Contenuto sessioni on line e on campus
ARMA models
Week 12 Contenuto sessioni on line e on campus
Modeling non-stationary processes. Testing for unit roots