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B-spline estimation for spatial data

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  • Tang Qingguo
  • Cheng Longsheng

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.

Suggested Citation

  • Tang Qingguo & Cheng Longsheng, 2010. "B-spline estimation for spatial data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 22(2), pages 197-217.
    • Handle: RePEc:taf:gnstxx:v:22:y:2010:i:2:p:197-217
    DOI: 10.1080/10485250903272569
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    References listed on IDEAS

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