A combined estimating function approach for fitting stationary point process models

C. Deng, R. P. Waagepetersen, Yongtao Guan

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A composite likelihood technique based on pairwise contributions provides a computationally simple but potentially inefficient approach for fitting spatial point process models. We propose a new estimation procedure that improves the efficiency. Our approach combines estimating functions derived from pairwise composite likelihood estimation and estimating functions that account for correlations among the pairwise contributions. Our method can be used to fit a variety of parametric spatial point process models and can yield more efficient estimators for the clustering parameters than pairwise composite likelihood estimation. We demonstrate the efficacy of our proposed method through a simulation study and an application to the longleaf pine data.

Original languageEnglish (US)
Pages (from-to)393-408
Number of pages16
JournalBiometrika
Volume101
Issue number2
DOIs
StatePublished - 2014

Fingerprint

Composite Likelihood
Estimating Function
Stationary point
Point Process
Stationary Process
Pairwise Likelihood
Spatial Point Process
Process Model
Pairwise
Composite materials
Efficient Estimator
Cluster Analysis
Efficacy
Pinus
methodology
Simulation Study
Clustering
Demonstrate
Process model
Likelihood estimation

Keywords

  • Estimating function
  • Pairwise composite likelihood
  • Spatial point process

ASJC Scopus subject areas

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

Cite this

A combined estimating function approach for fitting stationary point process models. / Deng, C.; Waagepetersen, R. P.; Guan, Yongtao.

In: Biometrika, Vol. 101, No. 2, 2014, p. 393-408.

Research output: Contribution to journalArticle

Deng, C. ; Waagepetersen, R. P. ; Guan, Yongtao. / A combined estimating function approach for fitting stationary point process models. In: Biometrika. 2014 ; Vol. 101, No. 2. pp. 393-408.
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