A novel and robust method is proposed by combining the idea of the modal regression estimation (Yao et al., 2012) and spline based shrinkage estimation method (Lian, 2012). The newly proposed method can simultaneously estimate and separate constant coefficients from varying coefficients and its...

In this paper, we consider how to yield a robust empirical likelihood estimation for regression models. After introducing modal regression, we propose a novel empirical likelihood method based on modal regression estimation equations, which has the merits of both robustness and high inference...

Partial linear single-index model (PLSIM) is a flexible and applicable model when investigating the underlying relationship between the response and the multivariate covariates. Most previous studies on PLSIM concentrated on mean regression, based on least square or likelihood approach. In...