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In recent years, econometricians extended
instrumental variable models, a standard approach to
regression with endogeneity, to non/semi-parametric
settings. However, when the endogenous variables are
continuous, such models are exposed to ill-posed
problems. Working from a different assumption, this
book considers estimation of non/semi-parametric
instrumental variables models under a functional
coefficient form. Under this representation, models
are linear in the endogenous components with either
constant or unknown functional coefficients. Due to
the linearity, the models avoid the ill-posed
problems and at the same time retain the flexibility
of the regression function. This study constructs
the constant and functional coefficients estimators
and proves their consistency and asymptotic
normality. The high practical power of these
estimators is illustrated via Monte Carlo
simulations and an application to labor statistics.
The book provides a more efficient way for
researchers and practitioners to analyze economic
data with endogenous variables utilizing non/semi-
parametric models.
instrumental variable models, a standard approach to
regression with endogeneity, to non/semi-parametric
settings. However, when the endogenous variables are
continuous, such models are exposed to ill-posed
problems. Working from a different assumption, this
book considers estimation of non/semi-parametric
instrumental variables models under a functional
coefficient form. Under this representation, models
are linear in the endogenous components with either
constant or unknown functional coefficients. Due to
the linearity, the models avoid the ill-posed
problems and at the same time retain the flexibility
of the regression function. This study constructs
the constant and functional coefficients estimators
and proves their consistency and asymptotic
normality. The high practical power of these
estimators is illustrated via Monte Carlo
simulations and an application to labor statistics.
The book provides a more efficient way for
researchers and practitioners to analyze economic
data with endogenous variables utilizing non/semi-
parametric models.