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A Note on the Estimation of Simultaneous Equations with Error Components

Published online by Cambridge University Press:  18 October 2010

Badi H. Baltagi  and
Qi Li
Badi H. Baltagi
Affiliation:
Texas A&M University
Qi Li
Affiliation:
University of Guelph
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Abstract

Baltagi [3] derived 2SLS and 3SLS analogues for a simultaneous equation model with error components. These were denoted by EC2SLS and EC3SLS. More recently, Balestra and Varadharajan-Krishnakumar [1] derived alternative 2SLS and 3SLS analogues; these were denoted by G2SLS and G3SLS. This note explains the relationship between these estimators and shows that the set of instruments employed by Balestra and Varadharajan-Krishnakumar is a subset of those used in Baltagi. In addition this paper shows that for the single equation case the extra set of instruments is redundant and both EC2SLS and G2SLS have the same asymptotic variance-covariance matrix. However, for the system of equations, it can be shown that EC3SLS is asymptotically more efficient than G3SLS.

Type
Miscellanea
Information
Econometric Theory , Volume 8 , Issue 1 , March 1992 , pp. 113 - 119
Copyright
Copyright © Cambridge University Press 1992

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References

REFERENCES

1.Balestra, P. & Varadharajan-Krishnakumar, J.. Full information estimations of system of simultaneous equations with error component structure. Econometric Theory 3 (1987): 223–246.CrossRefGoogle Scholar
2.Baltagi, B.H.On seemingly unrelated regressions with error components. Econometrica 48 (1980): 1547–1551.Google Scholar
3.Baltagi, B.H.Simultaneous equations with error components. Journal of Econometrics 17 (1981): 189–200.CrossRefGoogle Scholar
4.Breusch, T.S., Mizon, G.E. & Schmidt, P.. Efficient estimation using panel data. Econometrica 57 (1989): 695–700.CrossRefGoogle Scholar
5.Cornwell, C, Schmidt, P. & Wyhowski, D.. Simultaneous equations and panel data. Journal of Econometrics, forthcoming.Google Scholar
6.Haque, N.U., Lahiri, K. & Montiel, P.. A macroeconometric model for developing countries. International Monetary Fund Staff Papers 37 (1990): 537–559.CrossRefGoogle Scholar
7.Krishnakumar, J.Estimation of Simultaneous Equation Models with Error Components Structure. Berlin: Springer Verlag, 1988.Google Scholar
8.Magnus, J.R.Multivariate error components analysis of linear and nonlinear regression models by maximum likelihood. Journal of Econometrics 19 (1982): 239–285.Google Scholar
9.Prucha, I.R.Maximum likelihood and instrumental variable estimation in simultaneous equation systems with error components. International Economic Review 26 (1985): 491–506CrossRefGoogle Scholar
10.White, H.Asymptotic Theory for Econometricians. New York: Academic Press, 1984.Google Scholar
11.White, H. Instrumental variables analogs of generalized least squares estimators. In R.S. Mariano (ed.) Advances in Statistical Analysis and Statistical Computing, Vol. 1, pp. 173–277. New York: JAI Press, 1986.Google Scholar