B-spline estimation for spatial data

Tang Qingguo and Cheng Longsheng

Journal of Nonparametric Statistics, 2010, vol. 22, issue 2, 197-217

Abstract: Data collected on the surface of the earth often have spatial interaction. In this paper, a global smoothing procedure is developed using a tensor product of B-spline function approximations for estimating the spatial multi-dimensional conditional regression function. Under mild regularity assumptions, the global convergence rates of the B-spline estimators are established. Asymptotic results show that our B-spline estimators achieve the optimal convergence rate. The asymptotic normality of our estimator is also derived. Finite sample properties of our procedures are studied through Monte Carlo simulations.

Date: 2010
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DOI: 10.1080/10485250903272569

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