This study examines a new shared component point process model for urban policing and finds that the shared component approach is particularly useful in flexibly relating two point processes.
Using newly available point-level datasets that allow researchers to relate police use of force to other events describing police behavior, the authors investigate new methods that build upon shared component models and case-control methods to retain the point level nature of both point processes while characterizing the relationship between them. The study finds that the shared component approach is particularly useful in flexibly relating two point processes, and the authors illustrate this flexibility in simulated examples and an application to Chicago policing data. Current methods for relating two point processes typically rely on the spatial aggregation of one of the two point processes.