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Redundancy Of Moment Conditions And The Efficiency Of Ols In Sur Models

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  • Qian, Hailong

Abstract

In this note, based on the generalized method of moments (GMM) interpretation of the usual ordinary least squares (OLS) and feasible generalized least squares (FGLS) estimators of seemingly unrelated regressions (SUR) models, we show that the OLS estimator is asymptotically as efficient as the FGLS estimator if and only if the cross-equation orthogonality condition is redundant given the within-equation orthogonality condition. Using the condition for redundancy of moment conditions of Breusch, Qian, Schmidt, and Wyhowski (1999, Journal of Econometrics 99, 89–111), we then derive the necessary and sufficient condition for the equal asymptotic efficiency of the OLS and FGLS estimators of SUR models. We also provide several useful sufficient conditions for the equal asymptotic efficiency of OLS and FGLS estimators that can be interpreted as various mixings of the two famous sufficient conditions of Zellner (1962, Journal of the American Statistical Association 57, 348–368).

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  • Qian, Hailong, 2008. "Redundancy Of Moment Conditions And The Efficiency Of Ols In Sur Models," Econometric Theory, Cambridge University Press, vol. 24(5), pages 1456-1460, October.
    • Handle: RePEc:cup:etheor:v:24:y:2008:i:05:p:1456-1460_08
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    Cited by:

    1. Hailong Qian & Heather L. Bednarek, 2015. "Partial efficient estimation of SUR models," Economics Bulletin, AccessEcon, vol. 35(1), pages 338-348.
    2. Voxi Heinrich Amavilah & Antonio Rodriguez Andres, 2022. "Knowledge Economy and the Economic Performance of African Countries: A Seemingly Unrelated and Recursive Approach," Working Papers 57, The German University in Cairo, Faculty of Management Technology.

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