A second-order test to detect spatio-temporal anisotropic effects in point patterns
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https://doi.org/10.1080/02331888.2018.1469633 |
Metadades
Títol
A second-order test to detect spatio-temporal anisotropic effects in point patternsData de publicació
2018Editor
Taylor & FrancisISSN
0233-1888; 1029-4910Cita bibliogràfica
Comas, C., J. Conde, and J. Mateu. "A second-order test to detect spatio-temporal anisotropic effects in point patterns." Statistics (2018): 1-17Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.tandfonline.com/doi/full/10.1080/02331888.2018.1469633?scroll=top&ne ...Versió
info:eu-repo/semantics/publishedVersionParaules clau / Matèries
Resum
Second-order spatio-temporal orientation methods provide a natural tool for the analysis of anisotropic spatio-temporal point process data. In this paper, we generalize a method based on the spatial point pair orien ... [+]
Second-order spatio-temporal orientation methods provide a natural tool for the analysis of anisotropic spatio-temporal point process data. In this paper, we generalize a method based on the spatial point pair orientation distribution function to test for evidence of spatio-temporal anisotropy, by exploring the fact that the space–time orientation function is the distribution function of a uniform random variable on [0,π) for any second-order intensity reweighted stationary and isotropic spatio-temporal point process. We present a numerical procedure based on this result to test for anisotropic effects, illustrated through a simulation study considering several space–time structures including Poisson and cluster configurations. The resulting testing procedure is applied to analyse the spatio-temporal distribution of earthquakes in Southern California for the period 1984–2004. Our results confirm that our approach is able to detect directional components at distinct spatio-temporal scales. [-]
Publicat a
Statistics, 2018, vol. 52 , núm. 4, p. 1-17Proyecto de investigación
The work was partially funded by grants MTM2016-78917-R and MTM2017-86767-R from the Spanish Ministry of Economy, Industry and Competitiveness.Drets d'accés
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/restrictedAccess
info:eu-repo/semantics/restrictedAccess
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