Tectonics and Tessellations: Residuals for Spatial Point Processes

Thursday, December 13, 2012 at 1:00pm to 1:45pm

Bronfman Science Center, 106 18 Hoxsey St, Williamstown, MA 01267, USA

Tectonics and Tessellations:  Residuals for Spatial Point ProcessesAndrew Bray, University of California, Los Angeles
Mathematics and Statistics Department Colloquium

Abstract: Earthquakes are one of many natural phenomena that can be modeled as a point process, but it can be challenging to assess how well a given model describes newly observed quakes. We propose a method of residual analysis 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 appear to be substantially less skewed, and hence more stable, particularly for point processes with conditional intensities close to zero, compared to ordinary pixel-based methods.

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Mathematics & Statistics

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