Final Lecture 507

8
Final Remarks Walter Sosa-Escudero Econ 507. Econometric Analysis. Spring 2009 May 7, 2009 Walter Sosa-Escudero Final Remarks

Transcript of Final Lecture 507

  • Final Remarks

    Walter Sosa-Escudero

    Econ 507. Econometric Analysis. Spring 2009

    May 7, 2009

    Walter Sosa-Escudero Final Remarks

  • This course

    Provides background for other courses in the econometricssequence.

    Motivates the optimal use of econometric tools for appliedanalysis.

    Emphasizes econometric theory as a way of thinking aboutthe appropiate use of econometric tools.

    Presents some relevant applications.

    Walter Sosa-Escudero Final Remarks

  • More specifically

    Stresses the distinctions between models (the linear model,non-linear models, interactive, log linear, probits, etc.) and itsestimation strategies (OLS, GLS, IVs, GMM, MLE, NLS,etc.).

    Serves as an introduction to the paradigm of asymptoticproperties: consistency as a basic-crude property, asymptoticnormality as a way to performe inference and obtain ameasure of imprecision (the asymptotic variance).

    Efficiency as a relative concept: efficiency statements aremade relative to a probabilistic structure (the classicalassumptions for the linear model, the GMM assumptions forHansens Theorem, the ML framework for the Cramer-Raobound, the MM approach to NLS optimality).

    Introduces similar discussions for the problem of testing: validasymptotic size and consistency.

    Walter Sosa-Escudero Final Remarks

  • A list of methods

    OLS

    GLS

    t, F, Wald tests

    IV for linear models, GMM, TSLS.

    MLE

    Robust asymptotic variance (sandwich) estimators.

    The testing trilogy

    Non linear GMM

    NLS

    Extremum estimators

    Walter Sosa-Escudero Final Remarks

  • A toolkit of technicalities

    Projections and the geometric structure of OLS

    Idempotencies behind efficiency proofs.

    Consistency and LLN and CLT and AN.

    Sandwich-type variances.

    Delta Method: Mean value expansions for non-linear FOCs

    Consistency through convergence of objective functions.

    Chi-square forms from quadratic forms of normals behindhypothesis tests.

    Cramer Wold device, uniform convergence, moment existence,etc.

    Walter Sosa-Escudero Final Remarks

  • A list of applications

    Pollution and the value of houses to measure free riding.

    Educational production functions.

    Returns to scale in electricity supply.

    Schooling effects.

    The Challenger disaster.

    Estimating the size of the black economy.

    Assets and intertemporal consumption.

    Walter Sosa-Escudero Final Remarks

  • Summer activities

    Lateral moves: Davidson and MacKinnon (2004) or Wooldridge (2002)

    Modern discussions on the uses of econometrics: Angrist and Pischke (2009).

    Advanced moves: Newey and McFadden (1994, Handbook of Econometrics).

    A good book on inference: Knight (1999)

    A good introduction to analysis: Rudin (1976)

    Linear algebra: Axler (2004)

    Learn R (The R book, or any on-line resource)

    History of statistics and rarities: Stigler (2002)

    A good novel: One Hundred Years of Solitude (G.Garcia Marquez)

    A glorious short story about infinite samples and infinity: The Garden of ForkingPaths (J.L. Borges)

    A good CD: Guitar Music of Argentina, Victor Villadangos.

    A good trip: Ubatuba, Brazil.

    Walter Sosa-Escudero Final Remarks

  • Have a relaxing and productive summer!

    Contact InformationWalter Sosa-EscuderoAssociate Professor and Chairman,Department of EconomicsUniversidad de San [email protected]

    Walter Sosa-Escudero Final Remarks