Varying-coefficient partially functional linear quantile regression models

In this paper, we introduce a new varying-coefficient partially functional linear quantile regression model, which combines varying-coefficient quantile regression model with functional linear quantile regression model. The functional principal component basis and regression splines are employed to estimate the slope function and varying-coefficient functions, respectively, and the convergence rates of the estimators are obtained under some regularity conditions. Simulations and an illustrative real example are presented.