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Optimal Iv Estimation Of Systems With Stochastic Regressors And Var Disturbances With Applications To Dynamic Systems

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  • David Mandy
  • Carlos Martins-Filho

Abstract

This paper considers the general problem of Feasible Generalized Least Squares Instrumental Variables (FGLS IV) estimation using optimal instruments. First we summarize the sufficient conditions for the FGLS IV estimator to be asymptotically equivalent to an optimal GLS IV estimator. Then we specialize to stationary dynamic systems with stationary VAR errors, and use the sufficient conditions to derive new moment conditions for these models. These moment conditions produce useful IVs from the lagged endogenous variables, despite the correlation between errors and endogenous variables. This use of the information contained in the lagged endogenous variables expands the class of IV estimators under consideration and thereby potentially improves both asymptotic and small-sample efficiency of the optimal IV estimator in the class. Some Monte Carlo experiments compare the new methods with those of Hatanaka (1976). For the DGP used in the Monte Carlo experiments, asymptotic efficiency is strictly improved by the new IVs, and experimental small-sample efficiency is improved as well.

Suggested Citation

  • David Mandy & Carlos Martins-Filho, 2001. "Optimal Iv Estimation Of Systems With Stochastic Regressors And Var Disturbances With Applications To Dynamic Systems," Econometric Reviews, Taylor & Francis Journals, vol. 20(4), pages 485-505.
    • Handle: RePEc:taf:emetrv:v:20:y:2001:i:4:p:485-505
    DOI: 10.1081/ETC-100107001
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    Cited by:

    1. Martins-Filho Carlos & Yao Feng, 2006. "Estimation of Value-at-Risk and Expected Shortfall based on Nonlinear Models of Return Dynamics and Extreme Value Theory," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(2), pages 1-43, May.

    More about this item

    Keywords

    Dynamic models; IV estimation; VAR errors; JEL Classification: C30;
    All these keywords.

    JEL classification:

    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General

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