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Modern Statistics for Spatial Point Processes*
Authors:JESPER MØLLER  RASMUS P WAAGEPETERSEN
Institution:Department of Mathematical Sciences, Aalborg University
Abstract:Abstract. We summarize and discuss the current state of spatial point process theory and directions for future research, making an analogy with generalized linear models and random effect models, and illustrating the theory with various examples of applications. In particular, we consider Poisson, Gibbs and Cox process models, diagnostic tools and model checking, Markov chain Monte Carlo algorithms, computational methods for likelihood-based inference, and quick non-likelihood approaches to inference.
Keywords:Bayesian inference  conditional intensity  Cox process  Gibbs point process  Markov chain Monte Carlo  maximum likelihood  perfect simulation  Poisson process  residuals  simulation free estimation  summary statistics
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