Generalized spatial regression with differential regularization

  title={Generalized spatial regression with differential regularization},
  author={Matthieu Wilhelm and Laura M. Sangalli},
  journal={Journal of Statistical Computation and Simulation},
  pages={2497 - 2518}
ABSTRACT We aim at analysing geostatistical and areal data observed over irregularly shaped spatial domains and having a distribution within the exponential family. We propose a generalized additive model that allows to account for spatially varying covariate information. The model is fitted by maximizing a penalized log-likelihood function, with a roughness penalty term that involves a differential quantity of the spatial field, computed over the domain of interest. Efficient estimation of the… 
Spatial Regression With Partial Differential Equation Regularisation
  • L. Sangalli
  • Mathematics
    International Statistical Review
  • 2021
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