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A weighted estimating equation approach for inhomogeneous spatial point processes
Journal article   Open access  Peer reviewed

A weighted estimating equation approach for inhomogeneous spatial point processes

Yongtao Guan and Ye Shen
Biometrika, Vol.97(4), pp.867-880
2010-12

Abstract

Inhomogeneous spatial point process Intensity estimation Poisson maximum likelihood Weighted estimating equation
We introduce a new estimation method for parametric intensity function models of inhomogeneous spatial point processes based on weighted estimating equations. The weights can incorporate information on both inhomogeneity and dependence of the process. Simulations show that significant efficiency gains can be achieved for non-Poisson processes, compared to the Poisson maximum likelihood estimator. An application to tropical forest data illustrates the use of the proposed method.
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https://doi.org/10.1093/biomet/asq043View
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9 Mathematics
9.50 Applied Statistics & Probability
9.50.1564 Convex Body
Web Of Science research areas
Biology
Mathematical & Computational Biology
Statistics & Probability
ESI research areas
Mathematics

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