Decomposition of Variance for Spatial Cox Processes

Abdollah Jalilian, Yongtao Guan, Rasmus Waagepetersen

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

Spatial Cox point processes is a natural framework for quantifying the various sources of variation governing the spatial distribution of rain forest trees. We introduce a general criterion for variance decomposition for spatial Cox processes and apply it to specific Cox process models with additive or log linear random intensity functions. We moreover consider a new and flexible class of pair correlation function models given in terms of normal variance mixture covariance functions. The proposed methodology is applied to point pattern data sets of locations of tropical rain forest trees.

Original languageEnglish (US)
Pages (from-to)119-137
Number of pages19
JournalScandinavian Journal of Statistics
Volume40
Issue number1
DOIs
StatePublished - Mar 2013

Fingerprint

Cox Process
Spatial Process
Decompose
Variance Decomposition
Intensity Function
Cox Model
Pair Correlation Function
Covariance Function
Random Function
Point Process
Spatial Distribution
Process Model
Methodology
Decomposition
Rain forest
Cox process
Model
Spatial distribution
Process model
Variance decomposition

Keywords

  • Additive random intensity
  • Composite likelihood
  • Cox process
  • Matérn covariance function
  • Normal variance mixture
  • Pair correlation function
  • Variance component

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

Decomposition of Variance for Spatial Cox Processes. / Jalilian, Abdollah; Guan, Yongtao; Waagepetersen, Rasmus.

In: Scandinavian Journal of Statistics, Vol. 40, No. 1, 03.2013, p. 119-137.

Research output: Contribution to journalArticle

Jalilian, Abdollah ; Guan, Yongtao ; Waagepetersen, Rasmus. / Decomposition of Variance for Spatial Cox Processes. In: Scandinavian Journal of Statistics. 2013 ; Vol. 40, No. 1. pp. 119-137.
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