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- Title
A Non-Gaussian Spatial Generalized Linear Latent Variable Model.
- Authors
Irincheeva, Irina; Cantoni, Eva; Genton, Marc
- Abstract
We consider a spatial generalized linear latent variable model with and without normality distributional assumption on the latent variables. When the latent variables are assumed to be multivariate normal, we apply a Laplace approximation. To relax the assumption of marginal normality in favor of a mixture of normals, we construct a multivariate density with Gaussian spatial dependence and given multivariate margins. We use the pairwise likelihood to estimate the corresponding spatial generalized linear latent variable model. The properties of the resulting estimators are explored by simulations. In the analysis of an air pollution data set the proposed methodology uncovers weather conditions to be a more important source of variability than air pollution in explaining all the causes of non-accidental mortality excluding accidents.
- Subjects
GAUSSIAN distribution; LATENT variables; MULTIVARIATE analysis; MATHEMATICAL variables; AIR pollution
- Publication
Journal of Agricultural, Biological & Environmental Statistics (JABES), 2012, Vol 17, Issue 3, p332
- ISSN
1085-7117
- Publication type
Article
- DOI
10.1007/s13253-012-0099-5