Citation:
Escanciano, J. C., Jacho-Chávez, D. T., & Lewbel, A. (2014). Uniform convergence of weighted sums of non and semiparametric residuals for estimation and testing. Journal of Econometrics, 178, pp. 426-443.
A new uniform expansion is introduced for sums of weighted kernel-based regression residuals
from nonparametric or semiparametric models. This expansion is useful for deriving asymptotic
properties of semiparametric estimators and test statistics with data-dA new uniform expansion is introduced for sums of weighted kernel-based regression residuals
from nonparametric or semiparametric models. This expansion is useful for deriving asymptotic
properties of semiparametric estimators and test statistics with data-dependent bandwidths, random
trimming, and estimated efficiency weights. Provided examples include a new estimator for a
binary choice model with selection and an associated directional test for specification of this model’s
average structural function. An appendix contains new results on uniform rates for kernel estimators
and primitive sufficient conditions for high level assumptions commonly used in semiparametric
estimation.[+][-]