|Title:||Modeling spatial anisotropy via regression with partial differential regularization|
|Date:||Monday 13th August 2018|
|Author(s) :||Bernardi, M.s.; Carey, M.; Ramsay, J.o.; Sangalli, L.m.|
|Abstract:|| We consider the problem of analyzing spatially distributed data characterized by spatial anisotropy. Following a functional data analysis approach, we propose a method based on regression with partial differential regularization, where the differential operator in the regularizing term is anisotropic and is derived from data. We show that the method correctly identifies the direction and intensity of anisotropy and returns an accurate estimate of the spatial eld. The method compares favorably to both isotropic and anisotropic kriging, as tested in simulation studies under various scenarios. The method is then applied to the analysis of Switzerland rainfall data.|
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Journal of Multivariate Analysis, 2018, 167, 15-30.