Econometrica

Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Apr, 1966, Volume 34, Issue 2

Specification Analysis in the Estimation of Parameters of a Simultaneous Equation Model with Autoregressive Residuals

https://www.jstor.org/stable/1909934
p. 283-306

Takeshi Amemiya

Several related estimators of the parameters of a single equation of a simultaneous equation model are proposed. They are shown to be consistent and asymptotically efficient when the residual of the equation follows the first-order autoregressive process. One of these estimators, called MS2SLS, is designed to be consistent under a more general assumption about the stochastic process of the residual. A numerical analysis shows that the efficiency of MS2SLS is much higher than that of 2SLS under a general assumption about the stochastic process of the residual.


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