IJPAM: Volume 46, No. 1 (2008)

SIMULATING DISCRETE SPATIALLY CORRELATED
POISSON DATA ON A LATTICE

Monica C. Jackson$^1$, Kimberly Flagg Sellers$^2$
$^1$ Department of Mathematics and Statistics
American University
Washington, DC 20016-8050, USA
e-mail: monica@american.edu
$^2$Department of Mathematics
Georgetown University
Washington, DC 20057, USA
e-mail: kfs7@georgetown.edu


Abstract.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.

Received: August 12, 2008

AMS Subject Classification: 62H10

Key Words and Phrases: spatial statistics, spatial correlations

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 1