A changepoint analysis of spatio-temporal point processes

Linda Altieri, E. Marian Scott, Daniela Cocchi, Janine B. Illian

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

This work introduces a Bayesian approach to detecting multiple unknown changepoints over time in the inhomogeneous intensity of a spatio-temporal point process with spatial and temporal dependence within segments. We propose a new method for detecting changes by fitting a spatio-temporal log-Gaussian Cox process model using the computational efficiency and flexibility of integrated nested Laplace approximation, and by studying the posterior distribution of the potential changepoint positions. In this paper, the context of the problem and the research questions are introduced, then the methodology is presented and discussed in detail. A simulation study assesses the validity and properties of the proposed methods. Lastly, questions are addressed concerning potential unknown changepoints in the intensity of radioactive particles found on Sandside beach, Dounreay, Scotland.
Original languageEnglish
JournalSpatial Statistics
Early online date5 Jun 2015
DOIs
Publication statusPublished - 2015

Keywords

  • Spatio-temporal point processes
  • Changepoint analysis
  • INLA
  • Radioactive particle data

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