Second‐order residual analysis of spatiotemporal point processes and applications in model evaluation

Jiancang Zhuang

Journal of the Royal Statistical Society Series B, 2006, vol. 68, issue 4, 635-653

Abstract: Summary. The paper gives first‐order residual analysis for spatiotemporal point processes that is similar to the residual analysis that has been developed by Baddeley and co‐workers for spatial point processes and also proposes principles for second‐order residual analysis based on the viewpoint of martingales. Examples are given for both first‐ and second‐order residuals. In particular, residual analysis can be used as a powerful tool in model improvement. Taking a spatiotemporal epidemic‐type aftershock sequence model for earthquake occurrences as the base‐line model, second‐order residual analysis can be useful for identifying many features of the data that are not implied in the base‐line model, providing us with clues about how to formulate better models.

Date: 2006
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Citations: View citations in EconPapers (10)

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