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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Journal of Econometr...arrow_drop_down
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
Journal of Econometrics
Article . 1974 . Peer-reviewed
License: Elsevier TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1974
Data sources: zbMATH Open
https://doi.org/10.4337/978103...
Part of book or chapter of book . 1994 . Peer-reviewed
Data sources: Crossref
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The Nonlinear Two-Stage Least-Squares Estimator

The nonlinear two-stage least-squares estimator
Authors: Amemiya, Takeshi;

The Nonlinear Two-Stage Least-Squares Estimator

Abstract

In this paper we consider estimation of the parameters of a single equation of a simultaneous equations model which is nonlinear both in variables and paarmeters. Such a model has never been analyzed in the literature to the best of our knowledge. Models in which the nonlinearity appears only in variables or only in parameters have been previously considered. For the former case see Kelejian (1971) and other references cited in Goldfeld and Quandt (1972), and for the latter case see, for example, Zellner, Huang and Chau (1965.) We define the nonlinear two-stage least-squares estimator (NL2SLS) for our model and derive its asymptotic distribution. Our estimator reduces to the NL2SLS of Kelejian if the nonlinearity exists only in variables, to the NL2SLS of Zellner and others if the nonlinearity exists only in parameters, and to the usual 2SLS estimator if the regression function is linear both in variables and parameters. We show that the well-known optimality properties of 2SLS extend to NL2SLS in the model that is linear in variables and nonlinear in parameters. The question of whether they extend to NL2SLS in the general nonlinear model is left for further study.

Related Organizations
Keywords

Linear regression; mixed models, Applications of statistics to economics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
214
Top 1%
Top 0.1%
Average
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