The asymptotic covariance matrix of the full-information maximum-likelihood estimator is derived. The paper then compares the asymptotic efficiency of three estimators: full-information maximum likelihood, three-stage least squares, and linearized maximum likelihood. It is shown that all three are efficient if the covariance matrix of the contemporaneous structural disturbances is unknown. If, however, some elements of this covariance matrix are known a priori, then three-stage least squares is no longer efficient.
MLA
Leenders, C. T., and T. J. Rothenberg. “Efficient Estimation of Simultaneous Equation Systems.” Econometrica, vol. 32, .no 1, Econometric Society, 1964, pp. 57-76, https://www.jstor.org/stable/1913734
Chicago
Leenders, C. T., and T. J. Rothenberg. “Efficient Estimation of Simultaneous Equation Systems.” Econometrica, 32, .no 1, (Econometric Society: 1964), 57-76. https://www.jstor.org/stable/1913734
APA
Leenders, C. T., & Rothenberg, T. J. (1964). Efficient Estimation of Simultaneous Equation Systems. Econometrica, 32(1), 57-76. https://www.jstor.org/stable/1913734
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