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An estimating function approach to inference for inhomogeneous Neyman-Scott processes
Authors:Waagepetersen Rasmus Plenge
Affiliation:Institute of Mathematical Sciences, Aalborg University, Fredrik Bajersvej 7G, DK-9220 Aalborg, Denmark. rw@math.aau.dk
Abstract:This article is concerned with inference for a certain class of inhomogeneous Neyman-Scott point processes depending on spatial covariates. Regression parameter estimates obtained from a simple estimating function are shown to be asymptotically normal when the "mother" intensity for the Neyman-Scott process tends to infinity. Clustering parameter estimates are obtained using minimum contrast estimation based on the K-function. The approach is motivated and illustrated by applications to point pattern data from a tropical rain forest plot.
Keywords:Asymptotic normality    Clustering    Estimating function    Infill asymptotics    Inhomogeneous point process    Neyman–Scott point process
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