Statistical Inference and Simulation for Spatial Point Processes

By Jesper Møller, Rasmus Waagepetersen. 2003

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In Applied Mathematics

Citations in the corpus

Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations (2009, positive): “Log-Gaussian Cox processes are a flexible class of models that have been successfully used for modelling spatial or spatiotemporal point processes; see for example Møller et al. (1998), Brix and Møller (2001), Brix and Diggle (2001) and Møller and Waagepetersen (2003).”
An explicit link between Gaussian fields and Gaussian Markov random fields: the stochastic partial differential equation approach (2011, neutral): “When updating the Gaussian field from its full conditional (corresponding to a finite set of locations), a Metropolis-Hastings algorithm may apply (Roberts and Tweedie, 1996; Møller and Waagepetersen, 2004).”
MCMC Using Hamiltonian Dynamics (2011, neutral): “[23], [34], [26], [31], [52], [21], [35], [14], [1]).”
Determinantal Point Processes (2016, neutral): “[9, 10, 15, 15, 18, 23, 29, 32].”
Strong plant-soil associations in a heterogeneous subtropical broad-leaved forest (2011, neutral): “Firstly, we estimated the optimally fitted dispersal parameters (k, δ, u )u sing theK-function with the Method of Minimum Contrast (Diggle and Gratton 1984; Moller and Waagepetersen 2003 ) for 102 species.”
Properties of residuals for spatial point processes (2008, neutral): “Baddeley et al. 2005; Moller and Waagepetersen 2003; Moller and Waagepetersen 2007) and must typically be evaluated by Monte Carlo.”
Spatially explicit models for inference about density in unmarked or partially marked populations (2011, neutral): “ existing point process models. We note that the observation intensity function (i.e., corresponding to the observation locations) is a compound Gaussian kernel similar to that of the Thomas process [Møller and Waagepetersen (2003), pages 61 and 62, Thomas (1949)]. Also, the Poisson-Gamma convolutio”
Spatial patterns of tree species richness in two temperate forests (2011, neutral): “Finally, the point process models used here are static, and do not incorporate the effects of temporal processes or site history (Ripley 1988; Plotkin et al. 2000; Møller & Waagepetersen 2003).”
Estimating Second-Order Characteristics of Inhomogeneous Spatio-Temporal Point Processes (2013, neutral): “As suggested in Arbia et al (2012) and Diggle et al (2007), other ways to get around this diﬃculty is to assume a parametric model for the intensity (Møller and Waagepetersen, 2003; Liu et al, 2007) or to allow separation of ﬁrst-and second-order eﬀects.”