Title: Quantile estimation for a hybrid model of functional and varying coefficient regressions
Authors: Riquan Zhang - East China Normal University (China) [presenting]
Jian Zhang - University of Kent (United Kingdom)
Yanghui Liu - East China Normal University (China)
Hui Ding - East China Normal University (China)
Abstract: A hybrid of functional and varying-coefficient regression models for the analysis of mixed functional data is considered. We propose a quantile estimation of this hybrid model as an alternative to the least square approach. Under regularity conditions, we establish the asymptotic normality of the proposed estimator. We show that the estimated slope function can attain the minimax convergence rate as in functional linear regression. A Monte Carlo simulation study and a real data application suggest that the proposed estimation is promising.