TANG QingGuo1,2 & CHENG LongSheng1 1 School of Economics , Management,Nanjing University of Science , Technology,Nanjing 210094,China 2 Institute of Sciences,PLA University of Science , Technology,Nanjing 210007,China
Abstract:
This paper considers a nonparametric varying coefficient regression with spatial data. A global smoothing procedure is developed by using B-spline function approximations for estimating the coefficient functions. Under mild regularity assumptions,the global convergence rates of the B-spline estimators of the unknown coefficient functions are established. Asymptotic results show that our B-spline estimators achieve the optimal convergence rate. The asymptotic distributions of the B-spline estimators of the u...