A changepoint analysis of spatio-temporal point processes

Altieri, L., Scott, E. M. , Cocchi, D. and Illian, J. B. (2015) A changepoint analysis of spatio-temporal point processes. Spatial Statistics, 14(B), pp. 197-207. (doi:10.1016/j.spasta.2015.05.005)

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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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Altieri, Miss Linda and Scott, Professor Marian and Illian, Professor Janine
Authors: Altieri, L., Scott, E. M., Cocchi, D., and Illian, J. B.
College/School:College of Science and Engineering > School of Mathematics and Statistics
College of Science and Engineering > School of Mathematics and Statistics > Statistics
Journal Name:Spatial Statistics
Publisher:Elsevier B.V
ISSN:2211-6753
Copyright Holders:Copyright © 2015 Elsevier
First Published:First published in Spatial Statistics 14(B):197-207
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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