Journal
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Volume 106, Issue 493, Pages 100-108Publisher
TAYLOR & FRANCIS INC
DOI: 10.1198/jasa.2011.ap09546
Keywords
Crime hotspot; Epidemic Type Aftershock Sequences (ETAS); Point process
Categories
Funding
- NSF [DMS-0968309, BCS-0527388]
- ARO [58344-MA, 50363-MA-MUR]
- AFOSR [FA9550-10-1-0569]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0968382, 0968309] Funding Source: National Science Foundation
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Highly clustered event sequences are observed in certain types of crime data, such as burglary and gang violence, due to crime-specific patterns of criminal behavior. Similar clustering patterns are observed by seismologists, as earthquakes are well known to increase the risk of subsequent earthquakes, or aftershocks, near the location of an initial event. Space time clustering is modeled in seismology by self-exciting point processes and the focus of this article is to show that these methods are well suited for criminological applications. We first review self-exciting point processes in the context of seismology. Next, using residential burglary data provided by the Los Angeles Police Department, we illustrate the implementation of self-exciting point process models in the context of urban crime. For this purpose we use a fully nonparametric estimation methodology to gain insight into the form of the space time triggering function and temporal trends in the background rate of burglary.
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