This plan is preliminary, it may be subject to revision during the course.
- Recap and exposition of matrix algebra,
projection matrices, quadratic forms.
- Covariance matrices, conditional expectations,
the law of iterated expectations. Linear regression
as a projection. Method of Moments
Estimator (MME.)
- OLS (Ordinary Least Squares) in the
simplest case; homoskedastic resituals, BLUES, standard
errors of estimated parameters, R2.
- Erroneous model specifications:
- omitted regressors
- (self) selection bias
- simultaniety
- measurement errors in regressors
- heteroskedasticity
- multicolinearity
- non-linearity
- censored data
- White's heteroskedasticity consistent estimator
- GLS (Generalised Least Squares)
- Instrumental variables and 2SLS (Two-Stage
Least Squares)
- Linear restrictions, test of linear restrictions:
the Wald test. Prediction, prediction errors
- NLLS; Non-Linear
Least Squares. INLLS, i.e., NLLS with instrumental variables
(not in Hansen)
- Least Absolute Deviation (LAD) Regression and Quantile Regression
- Bootstrapping methods
- Truncated dependent variables: censorerd data, binary choise,
Maxumum Likelihood Estimator (MLE,) Logit
and Probit models.
Sections in Hansen's text, jan. 2008 revision
- Ch. 1
- Appendix A except A10
- Ch. 2
- Ch. 3 except 3.7, 3.10 and 3.12;
- Appendix C
- Ch. 4 except 4.5, 4.12, 4.13 and 4.15
- Ch. 5 except 5.7
- Ch. 6 in part
- Ch. 7 except 7.6–7.9
- Ch. 9 except 9.6
- Ch. 12
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