Skip to main content

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

Buy Article:

$51.00 plus tax (Refund Policy)


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.
No References
No Citations
No Supplementary Data
No Data/Media
No Metrics

Keywords: Earthquake clusters; Epidemic-type aftershock sequence model; Martingale; Model evaluation; Point process; Residual analysis

Document Type: Research Article

Affiliations: Institute of Statistical Mathematics, Tokyo, Japan

Publication date: 2006-09-01

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more