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Estimation of a Single Structural Equation with Structural Change

Published online by Cambridge University Press:  18 October 2010

Jiro Hodoshima
Affiliation:
Nanzan University

Abstract

Estimation of a single structural equation when there exists structural change is considered. Equality of structural variances in different samples is shown to affect the identification condition and asymptotic efficiency of best asymptotically normal estimators when the reduced-form covariance matrices differ by the structural change. The limited information maximum likelihood estimator is presented with its asymptotic property and compared with an alternative estimator.

Type
Articles
Copyright
Copyright © Cambridge University Press 1988

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References

REFERENCES

1.Anderson, T.W. & Rubin, H.. Estimation of the parameters of a single equation in a complete system of stochastic equations. Annals of Mathematical Statistics 20 (1949): 4663.CrossRefGoogle Scholar
2.Barten, A.P. & Bronsard, L.S.. Two-stage least squares estimation with structural shifts in the structural form. Econometrica 38 (1970): 938941.CrossRefGoogle Scholar
3.Brown, R.L., Durbin, J., & Evans, J.M.. Techniques for testing the constancy of regression relationships over time, with comments. Journal of the Royal Statistical Society B 37 (1975): 149192.Google Scholar
4.Chow, G.C.Tests of equality between sets of coefficients in two linear regressions. Econometrica 28 (1960): 591605.CrossRefGoogle Scholar
5.Davidson, J.FIML estimation of models with multiple regimes and covariance restrictions. Economics Letters 18 (1985): 2730.CrossRefGoogle Scholar
6.Goldfeld, S.M. & Quandt, R.E.. Estimation of structural change in simultaneous equation models. In Studies in Nonlinear Estimation. Cambridge: Ballinger, 1976, 3759.Google Scholar
7.Hausman, J.A. & Taylor, W.E.. Identification in linear simultaneous equations models with covariance restrictions: An instrumental variables interpretation. Econometrica 51 (1983): 15271549.CrossRefGoogle Scholar
8.Koopmans, T.C. & Hood, W.C.. The estimation of simultaneous economic relationships. In Hood, W.C., & Koopmans, T.C. (eds.), Studies in econometric methods, pp. 112199, New York: John Wiley, 1953.Google Scholar
9.Richard, J-F.Models with several regimes and changes in exogeneity. Reviews of Economic Studies 47 (1980): 120.Google Scholar
10.Rothenberg, T.J.Identification in parametric models. Econometrica 39 (1971): 577591.Google Scholar
11.Rothenberg, T.J.Efficient estimation with a priori information. New Haven: Yale University Press, 1973.Google Scholar