Newly available point-level datasets allow us to relate police use of force to other events describing police behavior. Current methods for relating two point processes typically rely on the spatial aggregation of one of the two point processes. We 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. We find that the shared component approach is particularly useful in flexibly relating two point processes, and we illustrate this flexibility in simulated examples and an application to Chicago policing data.

翻译：最新可用的点级数据集使我们能够将警察使用武力与其他描述警察行为的事件关联起来。当前关联两个点过程的方法通常依赖于对其中一个点过程进行空间聚合。我们研究了基于共享成分模型和病例对照方法的新方法，以在保留两个点过程的点级特性的同时，刻画它们之间的关系。我们发现，共享成分方法在灵活关联两个点过程方面尤为有效，并通过模拟示例及对芝加哥警务数据的应用展示了这一灵活性。