Open Access
November 2011 Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models
Adrian Baddeley, Ege Rubak, Jesper Møller
Statist. Sci. 26(4): 613-646 (November 2011). DOI: 10.1214/11-STS367


We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is generalized to a “pseudo-score” test derived from Besag’s pseudo-likelihood, and to a class of diagnostics based on point process residuals. The results lend theoretical support to the established practice of using functional summary statistics, such as Ripley’s K-function, when testing for complete spatial randomness; and they provide new tools such as the compensator of the K-function for testing other fitted models. The results also support localization methods such as the scan statistic and smoothed residual plots. Software for computing the diagnostics is provided.


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Adrian Baddeley. Ege Rubak. Jesper Møller. "Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models." Statist. Sci. 26 (4) 613 - 646, November 2011.


Published: November 2011
First available in Project Euclid: 28 February 2012

zbMATH: 1332.62363
MathSciNet: MR2951394
Digital Object Identifier: 10.1214/11-STS367

Keywords: compensator , functional summary statistics , model validation , point process residuals , pseudo-likelihood

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.26 • No. 4 • November 2011
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