Multivariate product-shot-noise Cox point process models

Abdollah Jalilian, Yongtao Guan, Jorge Mateu, Rasmus Waagepetersen

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We introduce a new multivariate product-shot-noise Cox process which is useful for modeling multi-species spatial point patterns with clustering intra-specific interactions and neutral, negative, or positive inter-specific interactions. The auto- and cross-pair correlation functions of the process can be obtained in closed analytical forms and approximate simulation of the process is straightforward. We use the proposed process to model interactions within and among five tree species in the Barro Colorado Island plot.

Original languageEnglish (US)
Pages (from-to)1022-1033
Number of pages12
JournalBiometrics
Volume71
Issue number4
DOIs
StatePublished - Dec 1 2015

Fingerprint

Cox Process
Shot Noise
Shot noise
Point Process
Islands
Process Model
Cluster Analysis
Noise
Shot Noise Process
Interaction
Spatial Point Pattern
automobiles
Pair Correlation Function
Clustering
Closed
Modeling
Simulation
Model

Keywords

  • Cox process
  • Cross-pair correlation function
  • Inter-specific interactions
  • Multivariate point process
  • Product fields

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Agricultural and Biological Sciences(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Medicine(all)

Cite this

Jalilian, A., Guan, Y., Mateu, J., & Waagepetersen, R. (2015). Multivariate product-shot-noise Cox point process models. Biometrics, 71(4), 1022-1033. https://doi.org/10.1111/biom.12339

Multivariate product-shot-noise Cox point process models. / Jalilian, Abdollah; Guan, Yongtao; Mateu, Jorge; Waagepetersen, Rasmus.

In: Biometrics, Vol. 71, No. 4, 01.12.2015, p. 1022-1033.

Research output: Contribution to journalArticle

Jalilian, A, Guan, Y, Mateu, J & Waagepetersen, R 2015, 'Multivariate product-shot-noise Cox point process models', Biometrics, vol. 71, no. 4, pp. 1022-1033. https://doi.org/10.1111/biom.12339
Jalilian, Abdollah ; Guan, Yongtao ; Mateu, Jorge ; Waagepetersen, Rasmus. / Multivariate product-shot-noise Cox point process models. In: Biometrics. 2015 ; Vol. 71, No. 4. pp. 1022-1033.
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