Estimating functions for inhomogeneous spatial point processes with incomplete covariate data

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Abstract

The R package "spatstat" provides a very flexible and useful framework for analyzing spatial point patterns. A fundamental feature is a procedure for fitting spatial point process models depending on covariates. However, in practice one often faces incomplete observation of the covariates and this leads to parameter estimation error which is difficult to quantify. In this paper we introduce a Monte Carlo version of the estimating function used in "spatstat" for fitting inhomogeneous Poisson processes and certain inhomogeneous cluster processes. For this modified estimating function it is feasible to obtain the asymptotic distribution of the parameter estimates in the case of incomplete covariate information. This allows a study of the loss of efficiency due to the missing covariate data.

Original languageEnglish
Place of PublicationAalborg
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages18
Publication statusPublished - 2007
SeriesResearch Report Series
NumberR-2007-04
ISSN1399-2503

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