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Abstract Details
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Activity Number:
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85
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Type:
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Contributed
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Date/Time:
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Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
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Sponsor:
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Section on Statistics and the Environment
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| Abstract - #304122 |
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Title:
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Residuals for Spatial Point Processes Based on Voronoi Tessellations
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Author(s):
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Andrew Bray*+ and Ka Wong and Frederic Schoenberg and Christopher Barr
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Companies:
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University of California at Los Angeles and Google and University of California at Los Angeles and Harvard University
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Address:
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8125 Math Science Building, Los Angeles, CA, 90095-1554, United States
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Keywords:
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residual analysis ;
space time point process ;
seismology ;
model evaluation ;
Voronoi tessellation ;
earthquakes
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Abstract:
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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 residiuals appear to be substantially less skewed and hence more stable, particularly for point processes with conditional intensities close to zero, compared to ordinary Pearson residuals and other pixel-based methods. An application to models for Southern California earthquakes is provided.
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