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A Note on Instrumental Variables and Maximum Likelihood Estimation Procedures

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  • Alberto Holly
  • Jan R. Magnus

Abstract

This paper presents two alternative formulations of the instrumental variables (IV) procedure. One of the formulations, termed the "completed model", serves to show, in a general way, that the IV estimator of a vector of regression parameter is asymptotically as efficient as the maximum likelihood estimator, under the hypothesis of normality. The expressions for the information matrix and its inverse are obtained. The calculation of this inverse requires some new results of matrix algebra that are demonstrated in an appendix.

Suggested Citation

  • Alberto Holly & Jan R. Magnus, 1988. "A Note on Instrumental Variables and Maximum Likelihood Estimation Procedures," Annals of Economics and Statistics, GENES, issue 10, pages 121-138.
    • Handle: RePEc:adr:anecst:y:1988:i:10:p:121-138
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    References listed on IDEAS

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    1. Smith, Richard, 1983. "On the classical nature of the Wu-Hausman statistics for the independence of stochastic regressors and disturbance," Economics Letters, Elsevier, vol. 11(4), pages 357-364.
    2. Marini, Giancarlo & van der Ploeg, Frederick, 1988. "Monetary and Fiscal Policy in an Optimising Model with Capital Accumulation and Finite Lives," Economic Journal, Royal Economic Society, vol. 98(392), pages 772-786, September.
    3. Godfrey, L. G. & Wickens, M. R., 1982. "A simple derivation of the limited information maximum likelihood estimator," Economics Letters, Elsevier, vol. 10(3-4), pages 277-283.
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    2. Hans G. Bloemen & Arie Kapteyn, 1993. "The Joint Estimation of a Non-Linear Labour Supply Function and a Wage Equation Using Simulated Response Probabilities," Annals of Economics and Statistics, GENES, issue 29, pages 175-205.
    3. Lemmen, J.J.G. & Eijffinger, S.C.W., 1992. "The degree of financial integration in the European Community," Other publications TiSEM 817a9f5a-e221-40ad-976f-7, Tilburg University, School of Economics and Management.
    4. Borm, Peter & Keiding, H & McLean, R.P. & Oortwijn, S & Tijs, S, 1992. "The Compromise Value for NTU-Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(2), pages 175-189.
    5. Verbeek, M.J.C.M., 1993. "Pseudo panel data," Other publications TiSEM a9fb068a-803b-472b-969d-2, Tilburg University, School of Economics and Management.
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    7. Nijman, T.E. & Palm, F.C., 1990. "Parameter identification in ARMA processes in the presence of regular but incomplete sampling," Other publications TiSEM 708ee84d-487f-48a4-8169-0, Tilburg University, School of Economics and Management.
    8. Verbeek, M.J.C.M. & Nijman, T.E., 1993. "Incomplete panels and selection bias : A survey," Other publications TiSEM 08061352-957b-4f56-b303-9, Tilburg University, School of Economics and Management.

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