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Instrumental Variables Estimation of Dynamic Simultaneous Systems with ARMA Errors

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  • J. Campos

Abstract

This paper develops the instrumental variables estimator for a possibly incomplete, dynamic economic system with vector autoregressive moving average disturbances. Its asymptotic distribution is derived and, under fairly weak conditions, it is shown that lagged endogenous variables may be validly included in the set of instruments. Statistics are proposed for testing the order of the error process and the validity of the instruments.

Suggested Citation

  • J. Campos, 1986. "Instrumental Variables Estimation of Dynamic Simultaneous Systems with ARMA Errors," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(1), pages 125-138.
    • Handle: RePEc:oup:restud:v:53:y:1986:i:1:p:125-138.
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    File URL: http://hdl.handle.net/10.2307/2297596
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    References listed on IDEAS

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    1. Dale W. Jorgenson & Jean-Jacques Laffont, 1974. "Efficient Estimation of Nonlinear Simultaneous Equations with Additive Disturbances," NBER Chapters, in: Annals of Economic and Social Measurement, Volume 3, number 4, pages 615-640, National Bureau of Economic Research, Inc.
    2. Phillips, P C B, 1982. "On the Consistency of Nonlinear FIML," Econometrica, Econometric Society, vol. 50(5), pages 1307-1324, September.
    3. Espasa, Antoni & Sargan, J Denis, 1977. "The Spectral Estimation of Simultaneous Equation Systems with Lagged Endogenous Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 583-605, October.
    4. Amemiya, Takeshi, 1974. "The nonlinear two-stage least-squares estimator," Journal of Econometrics, Elsevier, vol. 2(2), pages 105-110, July.
    5. Reinsel, Greg, 1979. "FIML estimation of the dynamic simultaneous equations model with ARMA disturbances," Journal of Econometrics, Elsevier, vol. 9(3), pages 263-281, February.
    6. Sargan, J D, 1980. "Some Tests of Dynamic Specification for a Single Equation," Econometrica, Econometric Society, vol. 48(4), pages 879-897, May.
    7. Hall, Anthony David & Pagan, Adrian Rodney, 1981. "The LIML and Related Estimators of an Equation with Moving Average Disturbances," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 22(3), pages 719-730, October.
    8. Hausman, Jerry A, 1975. "An Instrumental Variable Approach to Full Information Estimators for Linear and Certain Nonlinear Econometric Models," Econometrica, Econometric Society, vol. 43(4), pages 727-738, July.
    9. Hendry, David F., 1976. "The structure of simultaneous equations estimators," Journal of Econometrics, Elsevier, vol. 4(1), pages 51-88, February.
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    Cited by:

    1. Streibel, Mariane & Harvey, Andrew, 1993. "Estimation of simultaneous equation models with stochastic trend components," Journal of Economic Dynamics and Control, Elsevier, vol. 17(1-2), pages 263-287.
    2. Neil R. Ericsson, 1987. "Monte Carlo methodology and the finite sample properties of statistics for testing nested and non-nested hypotheses," International Finance Discussion Papers 317, Board of Governors of the Federal Reserve System (U.S.).

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