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A Deviance Residual for Heterogeneous Spatial Poisson Processes
Andrew B. Lawson
Vol. 49, No. 3 (Sep., 1993), pp. 889-897
Published by: International Biometric Society
Stable URL: http://www.jstor.org/stable/2532210
Page Count: 9
You can always find the topics here!Topics: Tiles, Poisson process, Approximation, Maximum likelihood estimation, Mathematical integrals, Modeling, Biometrics, Spatial points, Spatial models, Maps
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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.
Biometrics © 1993 International Biometric Society