Jackson, M.C., Sellers, K.F. . "Simulating Discrete Spatially Correlated Poisson Data on a Lattice." International Journal of Pure and Applied Mathematics 46.1 (2008): 137-154.
Spatial data analyses assess patterns in data and present results as graphs, maps, and model parameter estimates. Several spatial models are available, but there are poor guidelines for choosing among them. We simulate data under two methods for discrete Poisson data on a lattice. A Gibbs sampling algorithm is used to generate conditionally-specified data and a generalized linear mixed model with random effects having spatial correlation structure for simultaneously-specified data. The limitations derived on the generation of spatial data sets are also presented.
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