Generalized Spatial Regression with Differential Regularization
We aim at analyzing 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...
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Tipo de documento: | Electrónico Artículo |
Lenguaje: | Inglés |
Publicado: |
2016
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En: |
The journal of statistical computation and simulation
Año: 2016 |
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100 | 1 | |a Sangalli, Laura M. |e VerfasserIn |4 aut | |
245 | 1 | 0 | |a Generalized Spatial Regression with Differential Regularization |
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520 | |a We aim at analyzing 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 field is achieved resorting to the finite element method, which provides a basis for piecewise polynomial surfaces. The proposed model is illustrated by an application to the study of criminality in the city of Portland, Oregon, USA | ||
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