Regularized estimation for highly multivariate log Gaussian Cox processes

Achmad Choiruddin, Francisco Andrés Cuevas Pacheco, Jean-Francois Coeurjolly, Rasmus Waagepetersen

Research output: Contribution to journalJournal articleResearchpeer-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
JournalStatistics and Computing
Volume30
Issue number3
Pages (from-to)649–662
Number of pages14
ISSN0960-3174
DOIs
Publication statusPublished - 2020

Keywords

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

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