A fast and flexible $k$NN procedure is developed for dealing with a semiparametric functional regression model involving both partial-linear and single-index components. Rates of uniform consistency are presented. Simulated experiments highlight the advantages of the $k$NN procedure. A real data analysis is also shown.

翻译：针对一种同时包含部分线性与单指标组分的半参数函数型回归模型，本文提出了一种快速灵活的$k$NN方法。给出了该方法的一致收敛速度，并通过模拟实验验证了其优势，同时展示了实际数据分析的结果。