Second-order analysis of anisotropic spatiotemporal point process data. (English) Zbl 1541.62248
Summary: 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 \(30 \times 30\,\mathrm{km}^2\) 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.}
{©2014 The Authors. Statistica Neerlandica © 2014 VVS.}
MSC:
| 62M30 | Inference from spatial processes |
| 60G55 | Point processes (e.g., Poisson, Cox, Hawkes processes) |
Keywords:
anisotropy; fire ignition events; \(K\)-function; Monte Carlo tests; orientation distribution; second-order intensity-reweighted stationarity; spatiotemporal point processesReferences:
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