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A Deviance Residual for Heterogeneous Spatial Poisson Processes

Andrew B. Lawson
Biometrics
Vol. 49, No. 3 (Sep., 1993), pp. 889-897
DOI: 10.2307/2532210
Stable URL: http://www.jstor.org/stable/2532210
Page Count: 9
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Deviance Residual for Heterogeneous Spatial Poisson Processes
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Abstract

We present a deviance residual for a spatial heterogeneous Poisson process. The residual is derived from an approximation of the normalising integral of the process. This yields a saturated model estimate of the local intensity at a point, which is the reciprocal of the Dirichlet tile area associated with the point. A number of examples of the use of such a residual in the analysis of spatial point patterns is given.

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