We examine the higher order asymptotic properties of semiparametric regression estimators that were obtained by the general MINPIN method described in Andrews (1989, Semiparametric Econometric Models: I. Estimation, Discussion paper 908, Cowles Foundation). We derive an order <italic>n</italic>⁻¹ stochastic...

We construct efficient estimators of the identifiable parameters in a regression model when the errors follow a stationary parametric ARCH(<italic>P</italic>) process. We do not assume a functional form for the conditional density of the errors, but do require that it be symmetric about zero. The estimators of...

Local linear fitting is a popular nonparametric method in statistical and econometric modeling. Lu and Linton (<xref>2007</xref>, <italic>Econometric Theory</italic>23, 37–70) established the pointwise asymptotic distribution for the local linear estimator of a nonparametric regression function under the condition of near...

We study estimation and inference of the expected shortfall for time series with infinite variance. Both the smoothed and nonsmoothed estimators are investigated. The rate of convergence is determined by the tail thickness parameter, and the limiting distribution is in the stable class with...