Consistent Parametric Estimation of the Intensity of a Spatial-temporal Point Process

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Estimating functions for inhomogeneous spatial point processes with incomplete covariate data (2008, background): “However, for non-Poisson processes with intensity function λ(·;β), (1) may still be useful for estimating β, see Schoenberg (2005), Waagepetersen (2007), Møller & Waagepetersen (2006), and Guan & Loh (2007).”
Two‐step estimation for inhomogeneous spatial point processes (2009, methodology): “Consistency of the resulting estimate β̂ was studied in Schoenberg (2005) whereas Waagepetersen (2007) obtained asymptotic normality of β̂ for a fixed observation window employing infinite divisibility of the inhomogeneous Neyman–Scott processes that are considered in this paper.”
On Consistent Nonparametric Intensity Estimation for Inhomogeneous Spatial Point Processes (2008, methodology): “(17) We fit the model by maximizing a Poisson maximum likelihood criterion (Schoenberg 2005) and plot the fitted model in Figure 4.”
A Thinned Block Bootstrap Variance Estimation Procedure for Inhomogeneous Spatial Point Patterns (2007, background): “Thus our result further extends the scope of applications of (1) beyond the work of Schoenberg (2004) and Waagepetersen (2007).”
Structured Spatio‐Temporal Shot‐Noise Cox Point Process Models, with a View to Modelling Forest Fires (2010, background): “Asymptotic properties of maximum composite likelihood estimates are studied in Schoenberg (2004) and Waagepetersen (2007).”