In this paper a reduced form estimator is developed which combines the corresponding restricted 3SLS and the unrestricted LS estimators. This estimator is similar to the `positive part' Stein-like estimators proposed by Baranchik [2] and S. Sclove [16] in the classical multivariate regression context. It is shown that, whereas the restricted (derived) 3SLS and 2SLS reduced form estimates possess no finite moments (hence have unbounded risk), the modified Stein-like reduced form (MSRF) estimator has finite moments of up to order (T - n - m), where T is the sample size, n and m are the number of the endogenous and the non-stochastic exogenous variables in the system. Furthermore it is argued that, asymptotically, the difference between the MSRF and the 3SLS estimators is negligible.
MLA
Maasoumi, Esfandiar. “A Modified Stein-like Estimator for the Reduced Form Coefficients of Simultaneous Equations.” Econometrica, vol. 46, .no 3, Econometric Society, 1978, pp. 695-703, https://www.jstor.org/stable/1914241
Chicago
Maasoumi, Esfandiar. “A Modified Stein-like Estimator for the Reduced Form Coefficients of Simultaneous Equations.” Econometrica, 46, .no 3, (Econometric Society: 1978), 695-703. https://www.jstor.org/stable/1914241
APA
Maasoumi, E. (1978). A Modified Stein-like Estimator for the Reduced Form Coefficients of Simultaneous Equations. Econometrica, 46(3), 695-703. https://www.jstor.org/stable/1914241
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