Variable selection for inhomogeneous spatial point process models

Yu Ryan Yue, Ji Meng Loh

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

In this work, we consider variable selection when modelling the intensity and clustering of inhomogeneous spatial point processes, integrating well-known procedures in the respective fields of variable selection and spatial point process modelling to introduce a simple procedure for variable selection in spatial point process modelling. Specifically, we consider modelling spatial point data with Poisson, pairwise interaction and Neyman-Scott cluster models, and incorporate LASSO, adaptive LASSO, and elastic net regularization methods into the generalized linear model framework for fitting these point models. We perform simulation studies to explore the effectiveness of using each of the three-regularization methods in our procedure. We then use the procedure in two applications, modelling the intensity and clustering of rainforest trees with soil and geographical covariates using a Neyman-Scott model, and of fast food restaurant locations in New York City with Census variables and school locations using a pairwise interaction model.

Original languageEnglish (US)
Pages (from-to)288-305
Number of pages18
JournalCanadian Journal of Statistics
Volume43
Issue number2
DOIs
StatePublished - Jun 1 2015

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Berman-Turner approximation
  • Intensity function
  • Maximum pseudo-likelihood estimator
  • Spatial point processes
  • Variable selection via regularization
  • Weighted Poisson likelihood

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