Courses:

Nonlinear Econometric Analysis >> Content Detail



Syllabus



Syllabus

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A listing of topics can be found in the calendar below.



Description


This course presents micro-econometric models, including large sample theory for estimation and hypothesis testing, generalized method of moments (GMM), estimation of censored and truncated specifications, quantile regression, structural estimation, nonparametric and semiparametric estimation, treatment effects, panel data, bootstrapping, simulation methods, and Bayesian methods. The methods are illustrated with economic applications.

The first half of the course (Part A) is taught by Prof. Chernozhukov, while the second half (Part B) is taught by Prof. Newey.



Prerequisites


The prerequisites include 14.382 Econometrics or permission of the instructor.



Texts


Please see the readings.



Grading


The grades for each part count equally towards the final grade.



Part A – Chernozhukov



ACTIVITIESPERCENTAGES
Problem sets60%
Midterm exam40%



Part B – Newey



ACTIVITIESPERCENTAGES
Problem sets40%
Final exam60%



Calendar


The following three articles are referenced in the Recitation topics. Articles that pertain to lecture topics can be found in the readings.

Ahn, H., and J. L. Powell. "Semiparametric Estimation of Censored Selection Models with a Nonparametric Selection Mechanism." Journal of Econometrics 58 (1993): 3-29.

Autor, D., L. F. Katz, and M. S. Kearney. "Rising Wage Inequality: The Role of Composition and Prices." National Bureau of Economic Research (NBER) Working Paper No. 11628 (August 2005): 1-65.

Chernozhukov, V., and H. Hong. "Three-step Censored Quantile Regression and Extramarital Affairs." Journal of the American Statistical Association 97, no. 459 (September 2002): 872-882.

The calendar below provides information on the course's lecture (L) and Recitation (R) sessions. Part A consists of sessions L1-L12, while Part B consists of sessions L13-L25.


SES #TOPICSKEY DATES
L1Methods for nonlinear models: maximum likelihood estimation (MLE), generalized method of moments (GMM), minimum distance, extremumProblem set A-1 out two days after Ses #L1
L2-L3Large sample theory, asymptotic theory, discrete choice, censoring, and sample selection
R1Extremum estimators, variance estimation, hypothesis tests
L4-L5Large sample theory, asymptotic theory, discrete choice, censoring, and sample selection (cont.)
R2ML computation: probit using ordinary least squares (OLS) command, hypothesis tests; two-step estimation: Heckman correction

Problem set A-1 due

Problem set A-2 out

L6Bootstrap, subsampling, and finite-sample methods
R3Bootstrap
L7Bootstrap, subsampling, and finite-sample methods (cont.)
L8Quantile regression (QR) and distributional methods
R4Quantile regression: integral transformation/Skorohod representation, conditional means vs. conditional quantiles, inference for quantile regression, and high-tech application: wage decompositions (Autor, Katz, and Kearney 2005)Problem set A-2 due
L9Quantile regression (QR) and distributional methods (cont.)
R5QR applications: 3-step procedure for censored QR (Chernozhukov and Hong 2002); digression: duration models; brief introduction to R, wage decomposition
L10-L11Bayesian and quasi-Bayesian methods (from a classical view)
R6Accept-reject sampling, the Gibbs sampler, and Monte Carlo optimization
L12Bounds and partial identification

Problem set A-3 out

Midterm exam two days after Ses #L12

L13-L14GMM: identification, estimation, testing, bias, selecting momentsProblem set B-1 out on Ses #L14
R7Duration models: main concepts, practical issues; GMM: higher-order bias for two stage least squares (2SLS) estimation, adding moments and efficiency
L15Weak and many instruments
L16Nonparametric estimationProblem set A-3 due
R8Nonparametric regression: theoretical bias and variance of the Nadaraya-Watson estimator, confidence intervals, bandwidth choice: cross-validation in kernel regression
L17Nonparametric estimation (cont.)

Problem set B-1 due

Problem set B-2 out one day after Ses #L17

R9GMM with condition moment restriction: optimal IV vs. efficient weighting matrix, example from Problem set B-1; nonparametric regression: kernel regression asymptotics, local linear estimation, bandwidth selection, generalized cross-validation
L18-L19Semiparametric estimation
L20Treatment effects
L21Nonlinear models in panel dataProblem set B-2 due
R10Series estimation and discontinuities, an example for the partially linear model: semiparametric selection models (Ahn and Powell 1993); treatment effects: the LaLonde debateProblem set B-3 out
L22Nonlinear models in panel data (cont.)
L23Economic modeling and econometrics
R11Nonlinear panel data: incidental parameters problem, conditional MLE: Logit case; method of simulated moments (MSM): brief introduction to numerical integration, simulated estimation
L24-L25Economic modeling and econometrics (cont.)

Problem set B-3 due

Final exam seven days after Ses #L25


 








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