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Abstract Details
Activity Number:
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16
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Type:
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Topic Contributed
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Date/Time:
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Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Statistics and the Environment
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Abstract - #301222 |
Title:
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Interpolation of Data Collected in Polygons
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Author(s):
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Konstantin Krivoruchko*+ and Alexander Alexander Gribov and Eric Krause
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Companies:
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Environmental System Research Institute and Environmental System Research Institute and Environmental System Research Institute
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Address:
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380 New York St, Redlands, CA, 92373, USA
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Keywords:
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interpolation ;
counts ;
binomial ;
overdispersed Poisson
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Abstract:
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Poisson kriging of count data collected in points and polygons was recently discussed in geostatistical literature. To account for overdispersion in the Poisson process, we extend this model to the negative binomial distribution, and we allow for interpolation of binomial counts collected in polygons. We describe a multivariate version of areal interpolation where the secondary cokriging variable can be binomial, negative binomial, or Gaussian. Additionally, for binomial data, the density of the target population can be used as additional information. For all data types, we describe optimization options, model fitting, and model diagnostics. We demonstrate the model usage with examples of interpolation of epidemiological, crime, and environmental data, including prediction to different sets of polygons. Focus is given to interpreting the overdispersion parameter, particularly how it rela
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