A weighted estimating equation approach for inhomogeneous spatial point processes

Yongtao Guan, Ye Shen

Research output: Contribution to journalArticle

20 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)867-880
Number of pages14
JournalBiometrika
Volume97
Issue number4
DOIs
StatePublished - Dec 1 2010
Externally publishedYes

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Keywords

  • Inhomogeneous spatial point process
  • Intensity estimation
  • Poisson maximum likelihood
  • Weighted estimating equation

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Agricultural and Biological Sciences (miscellaneous)
  • Agricultural and Biological Sciences(all)
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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