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A note on instrumental variables and maximum likelihood estimation procedures

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  • Holly, A.
  • Magnus, J.R.

    (Tilburg University, School of Economics and Management)

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.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Holly, A. & Magnus, J.R., 1988. "A note on instrumental variables and maximum likelihood estimation procedures," Other publications TiSEM 15b2886d-b0f9-4e4e-a526-9, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:15b2886d-b0f9-4e4e-a526-980b309538be
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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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    Cited by:

    1. Muto, S., 1994. "On licensing policies in Bertrand competition," Other publications TiSEM ef5dd5db-f744-4695-b669-3, Tilburg University, School of Economics and Management.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. Verbeek, M.J.C.M., 1993. "Pseudo panel data," Other publications TiSEM a9fb068a-803b-472b-969d-2, Tilburg University, School of Economics and Management.
    7. 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.
    8. Cameron McIntosh, 2014. "The presence of an error term does not preclude causal inference in regression: a comment on Krause (2012)," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(1), pages 243-250, January.

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