Residuals and Diagnostics for Spatial Point Processes
نویسنده
چکیده
منابع مشابه
Voronoi Residuals and their Application in Assessing the Fit of Poin Process Models: An Applied Study
Many point process models have been proposed for studying variety of scientific disciplines, including geology, medicin, astronomy, forestry, ecology and ect. The assessment of fitting these models is important. Residuals-based methods are appropriate tools for evaluating good fit of spatial point of process models. In this paper, first, the concepts related to the Voronoi ...
متن کاملResiduals for spatial point processes based on Voronoi tessellations
A residual analysis method for spatial point processes is proposed, where differences between the modeled conditional intensity and the observed number of points are assessed over the Voronoi cells generated by the observations. The resulting residuals appear to be substantially less skewed and hence more stable, particularly for point processes with conditional intensities close to zero, compa...
متن کاملResidual analysis for spatial point processes
We define residuals for point process models fitted to spatial point pattern data, and propose diagnostic plots based on them. The residuals apply to any point process model that has a conditional intensity; the model may exhibit spatial heterogeneity, interpoint interaction and dependence on spatial covariates. Some existing ad hoc methods for model checking (quadrat counts, scan statistic, ke...
متن کاملResiduals and goodness-of-fit tests for stationary marked Gibbs point processes
The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to data. For spatial point processes, the concept of residuals has been recently proposed by Baddeley et al. Baddeley et al. (2005) as an empirical counterpart of the Campbell equilibrium equation for marked Gibbs point processes. The present paper focuses on stationary marked Gibbs ...
متن کاملUsing Voronoi tessellations to calculate residuals for spatial point process models
This paper proposes a residual analysis method for spatial point processes where differences between the modeled conditional intensity and the observed number of points are assessed over the Voronoi cells generated by the observations. The resulting residuals are substantially less skewed and more stable than residuals based on a regular grid. These advantages are particularly evident for point...
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تاریخ انتشار 2007