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Moment-based estimation of nonlinear regression models with boundary outcomes and endogeneity, with applications to nonnegative and fractional responses

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EARAMALHO.JRAMALHO.2017.pdf1.26 MBAdobe PDF Ver/Abrir

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In this article, we suggest simple moment-based estimators to deal with unobserved heterogeneity in a special class of nonlinear regression models that includes as main particular cases exponential models for nonnegative responses and logit and complementary loglog models for fractional responses. The proposed estimators: (i) treat observed and omitted covariates in a similar manner; (ii) can deal with boundary outcomes; (iii) accommodate endogenous explanatory variables without requiring knowledge on the reduced form model, although such information may be easily incorporated in the estimation process; (iv) do not require distributional assumptions on the unobservables, a conditional mean assumption being enough forconsistentestimationofthestructuralparameters;and(v)undertheadditionalassumption that the dependence between observables and unobservables is restricted to the conditional mean, produce consistent estimators of partial effects conditional only on observables.

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Boundary Outcomes Endogeneity Exponential Regression Fractional Regression Transformation Regression Models Unobserved Heterogeneity

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Citação

Ramalho, Esmeralda A. and Joaquim J. S. Ramalho .(2017). “Moment-based estimation of nonlinear regression models with boundary outcomes and endogeneity, with applications to nonnegative and fractional responses”. Econometric Reviews, Vol. 36, No. 4: 397–420. (Search PDF in 2023)

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