Politických vězňů 7, 110 21 Praha 1, CZ
Paolo.Zacchia@cerge-ei.cz

### Teaching

My class material in Statistics and Econometrics

### Notes

I prepared these lecture notes to provide my students with a cohesive material that would adopt a unified notation and structure across different classes. I drew inspiration and material from multiple sources, and a few textbooks in particular: "Statistical Inference" by George Casella and Rorger L. Berger (which is most apparent in "Lectures" 1 and 4), "Microeconometrics: Methods and Applications" by A. Colin Cameron and Pravin K. Trivedi, and "Econometrics" by Bruce E. Hansen.

### Slides

To facilitate teaching in the online mode I translated the content of my notes into slides. These can be downloaded below, split by topic ("Lecture").

###### I.   Probability and Statistics
1. 1.   Random Variables (events, probabilities, conditional probabilities, distributions, transformations, moments)
2. 2.   Common Distributions (discrete distributions, location-scale families, other continuous distributions, GEV distributions)
3. 3.   Random Vectors (multivariate distributions, independence, multivariate moments, conditional distributions)
4. 4.   Samples and Statistics (samples, statistics, normal sampling, order statistics, sufficient statistics)
5. 5.   Statistical Inference (method of moments, maximum likelihood, Cramér-Rao bound, tests, confidence intervals)
6. 6.   Asymptotic Theory (convergence in probability, Laws of Large Numbers, convergence in distribution, Central Limit Theorems)

###### II.  Econometric Theory
1. 7.   The Linear Regression Model (linear relationships, linear prediction, algebra of least squares, linear regression)
2. 8.   Least Squares Estimation (large sample properties of OLS, small sample properties of OLS, dependent observations)
3. 9.   Econometric Models (structural models, identification, linear simultaneous equations, causality)
4. 10. Instrumental Variables (endogeneity, theory of IV-2SLS, practical considerations, simultaneous equations and 3SLS)
5. 11. Maximum Estimation (M-Estimation and asymptotics, tests, QMLE, binary outcomes, simulated MLE, some applications)
6. 12. Generalized Method of Moments (GMM and asymptotics, special cases, testing overidentification, simulated MM, some applications)

### Extra

I prepared the slides below for the graduate-level class on miscellaneous topics in "microeconometrics" I teach at CERGE-EI (in this class I have over time increasingly emphasized the structural industrial organization component). While the slides are not based on a set of lecture notes, they are designed in partial continuity with the ones above. I find this useful for the sake of a unified notation and for easier cross-referencing. Examples, estimates and figures from actual research papers that are shown in class are typically not included in these slides; the same applies to illustrative computer programs.

###### III. Microeconometrics
1. 13. Limited Dependent Variables (review of multinomial response models, fixed and random effects, Rust's dynamic logit)
2. 14. Demand Estimation (traditional approaches, collusion detection, random utility, BLP estimation, some extensions)
3. 15. Production Function Estimation (panel data, control functions, functional dependence, synthesis, adding demand, non-parametrics)
4. 16. Estimation of Games (classical entry models, multiple equilibria, set estimation, incomplete information, introduction to dynamics)
5. 17. Wage Decomposition (the AKM model, mover study, limited mobility bias, leave-out estimation, discrete types, origin effects)
6. 18. Interactions and Networks (peer effects, covariance restrictions, network effects, network identification, network formation)