Article ID Journal Published Year Pages File Type
7546449 Journal of Multivariate Analysis 2018 19 Pages PDF
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 field. 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.
Related Topics
Physical Sciences and Engineering Mathematics Numerical Analysis
Authors
, , , ,