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Erscheinungsjahr: 
1997
Schriftenreihe/Nr.: 
SFB 373 Discussion Paper No. 1997,27
Verlag: 
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes, Berlin
Zusammenfassung: 
We consider the partially linear model relating a response Y to predictors (X,T) with mean function XT ß + g (T) when the X's are measured with additive error. The semiparametric likelihood estimate of Severini and Staniswalis (1994) leads to biased estimates of both the parameter ß and the function g(·) when measurement error is ignored. We derive a simple modification of their estimator which is a semiparametric version of the usual parametric correction for attenuation. The resulting estimator of ß is shown to be consistent and its asymptotic distribution theory is derived. Consistent standard error estimates using sandwich-type ideas are also developed.
Schlagwörter: 
Measurement Error
Errors-in-Variables
Functional Relations
Non-parametric Likelihood
Orthogonal Regression
Partially Linear Model
Semiparametric Models
Structural Relations
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