Score, Pseudo-Score and Residual Diagnostics for Spatial Point Process Models

We develop new tools for formal inference and informal model validation in the analysis of spatial point pattern data. The score test is gen- eralized 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 sum- mary statistics, such as Ripley's K-function, when testing for complete spa- tial randomness; and they provide new tools such as the compensator of the K-function for testing other fitted models. The results also support localiza- tion methods such as the scan statistic and smoothed residual plots. Software for computing the diagnostics is provided.

• Publication year

  2011

• Venue

  Statistical Science

• Publication date

  2011-11-01

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1214/11-STS367arXiv 1205.3918
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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