Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models
Abstract
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 -function, when testing for complete spatial randomness; and they provide new tools such as the compensator of the -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.
Cite
@article{arxiv.1205.3918,
title = {Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models},
author = {Adrian Baddeley and Ege Rubak and Jesper Møller},
journal= {arXiv preprint arXiv:1205.3918},
year = {2012}
}
Comments
Published in at http://dx.doi.org/10.1214/11-STS367 the Statistical Science (http://www.imstat.org/sts/) by the Institute of Mathematical Statistics (http://www.imstat.org)