A weighted estimating equation approach for inhomogeneous spatial point processes

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 gai...

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Veröffentlicht in:Biometrika 2010-12, Vol.97 (4), p.867-880
Hauptverfasser: Guan, Yongtao, Shen, Ye
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0006-3444
1464-3510
1464-3510
0006-3444
DOI:10.1093/biomet/asq043