Regularized estimation for highly multivariate log Gaussian Cox processes

Achmad Choiruddin*, Francisco Cuevas-Pacheco, Jean François Coeurjolly, Rasmus Waagepetersen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

Statistical inference for highly multivariate point pattern data is challenging due to complex models with large numbers of parameters. In this paper, we develop numerically stable and efficient parameter estimation and model selection algorithms for a class of multivariate log Gaussian Cox processes. The methodology is applied to a highly multivariate point pattern data set from tropical rain forest ecology.

Original languageEnglish
Pages (from-to)649-662
Number of pages14
JournalStatistics and Computing
Volume30
Issue number3
DOIs
Publication statusPublished - 1 May 2020

Keywords

  • Cross-pair correlation
  • Elastic net
  • LASSO
  • Log Gaussian Cox process
  • Multivariate point process
  • Proximal Newton method

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