Aspects of second-order analysis of structured inhomogeneous spatio-temporal processes

Jesper Møller, Mohammad Ghorbani

Research output: Contribution to journalJournal articleResearchpeer-review

22 Citations (Scopus)

Abstract

Statistical methodology for spatio-temporal point processes is in its infancy. We consider second-order analysis based on pair correlation functions and K-functions for general inhomogeneous spatio-temporal point processes and for inhomogeneous spatio-temporal Cox processes. Assuming spatio-temporal separability of the intensity function, we clarify different meanings of second-order spatio-temporal separability. One is second-order spatio-temporal independence and relates to log-Gaussian Cox processes with an additive covariance structure of the underlying spatio-temporal Gaussian process. Another concerns shot-noise Cox processes with a separable spatio-temporal covariance density. We propose diagnostic procedures for checking hypotheses of second-order spatio-temporal separability, which we apply on simulated and real data.
Original languageEnglish
JournalStatistica Neerlandica
Volume66
Issue number4
Pages (from-to)472-491
Number of pages20
ISSN0039-0402
DOIs
Publication statusPublished - Nov 2012

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Spatio-temporal Process
Cox Process
Separability
Point Process
Gaussian Process
Shot Noise Process
Intensity Function
Pair Correlation Function
Covariance Structure
Diagnostics
Methodology

Cite this

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Aspects of second-order analysis of structured inhomogeneous spatio-temporal processes. / Møller, Jesper; Ghorbani, Mohammad.

In: Statistica Neerlandica, Vol. 66, No. 4, 11.2012, p. 472-491.

Research output: Contribution to journalJournal articleResearchpeer-review

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