Translator Disclaimer
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

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 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.

Citation

Download Citation

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. https://doi.org/10.1214/11-STS367

Information

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

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

Rights: Copyright © 2011 Institute of Mathematical Statistics

JOURNAL ARTICLE
34 PAGES


SHARE
Vol.26 • No. 4 • November 2011
Back to Top