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Spatiotemporal prediction for log-Gaussian Cox processes
Authors:Anders Brix  & Peter J Diggle
Affiliation:Lancaster University, UK
Abstract:Space–time point pattern data have become more widely available as a result of technological developments in areas such as geographic information systems. We describe a flexible class of space–time point processes. Our models are Cox processes whose stochastic intensity is a space–time Ornstein–Uhlenbeck process. We develop moment-based methods of parameter estimation, show how to predict the underlying intensity by using a Markov chain Monte Carlo approach and illustrate the performance of our methods on a synthetic data set.
Keywords:Markov process  Metropolis adjusted Langevin algorithm  Ornstein–Uhlenbeck process  Space–time point process
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