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Second‐order analysis of anisotropic spatiotemporal point process data
Author(s) -
Comas C.,
RodriguezCortes F. J.,
Mateu J.
Publication year - 2015
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/stan.12046
Subject(s) - estimator , point process , orientation (vector space) , point (geometry) , computer science , function (biology) , spatial analysis , enhanced data rates for gsm evolution , distribution function , point distribution model , mathematics , distribution (mathematics) , algorithm , statistics , artificial intelligence , geometry , mathematical analysis , physics , quantum mechanics , evolutionary biology , biology
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.