Estimation in two classes of popular models, single-index models and partially linear single-index models, is studied … convergence rates of the estimators for the single-index models and a trio of convergence rates for the partially linear single-index … models. More precisely, the estimators for single-index model converge along the direction of the true parameter vector at …

linear single-index models, of which the univariate nonparametric link function is approximated by local polynomial …In this paper, a new robust and efficient estimation approach based on local modal regression is proposed for partially …

In this paper, we consider the partially linear single-index models with longitudinal data. We propose the bias …