Second‐order analysis of anisotropic spatiotemporal point process data

Second‐order orientation methods provide a natural tool for the analysis of spatial point process data. In this paper, we extend to the spatiotemporal setting the spatial point pair orientation distribution function. The new space–time orientation distribution function is used to detect space–time anisotropic configurations. An edge‐corrected estimator is defined and illustrated through a simulation study. We apply the resulting estimator to data on the spatiotemporal distribution of fire ignition events caused by humans in a square area of 30 × 30 km 2 for 4 years. Our results confirm that ou... Mehr ...

Verfasser: Comas, C
Dokumenttyp: Artikel
Reihe/Periodikum: Statistica Neerlandica
Verlag/Hrsg.: Oxford, Blackwell
Sprache: Englisch
ISSN: 0039-0402
Weitere Identifikatoren: doi: 10.1111/stan.12046
Permalink: https://search.fid-benelux.de/Record/olc-benelux-1964987385
URL: NULL
NULL
Datenquelle: Online Contents Benelux; Originalkatalog
Powered By: Verbundzentrale des GBV (VZG)
Link(s) : http://dx.doi.org/10.1111/stan.12046
http://dx.doi.org/10.1111/stan.12046

Second‐order orientation methods provide a natural tool for the analysis of spatial point process data. In this paper, we extend to the spatiotemporal setting the spatial point pair orientation distribution function. The new space–time orientation distribution function is used to detect space–time anisotropic configurations. An edge‐corrected estimator is defined and illustrated through a simulation study. We apply the resulting estimator to data on the spatiotemporal distribution of fire ignition events caused by humans in a square area of 30 × 30 km 2 for 4 years. Our results confirm that our approach is able to detect directional components at distinct spatiotemporal scales. © 2014 The Authors. Statistica Neerlandica © 2014 VVS.