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The asymptotic equivalence between the iterated improved 2sls estimator and the 3sls estimator 

Authors: Hailong Qian a; Peter Schmidt b
Affiliations:   a Econometrics Group, Wellington, New Zealand
b Department of Economics, Michigan State University, Easy Lansing, MI, USA
DOI: 10.1080/07474939708800398
Publication Frequency: 6 issues per year
Published in: journal Econometric Reviews, Volume 16, Issue 4 1997 , pages 441 - 457
Formats available: PDF (English)
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Abstract

In this paper we show that the 3SLS estimator of a system of equations is asymptotically equivalent to an iterative 2SLS estimator applied to each equation, augmented with the residuals from the other equations. This result is a natural extension of Telser (1964).
Keywords: 2SLS(IV) estimators; Improved 2SLS(IV) estimators; Iterated improved 2SLS(IV) estimators; 3SLS estimators
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