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Second-order analysis of space-time clustering

1995; SAGE Publishing; Volume: 4; Issue: 2 Linguagem: Inglês

10.1177/096228029500400203

1477-0334

Peter J. Diggle, Amanda G. Chetwynd, Roland Häggkvist, S. E. Morris,

Point processes and geometric inequalities

We consider the problem of detecting and describing space-time interaction in point process data. We extend existing second-order methods for purely spatial point process data to the spatial-temporal setting. This extension allows us to estimate space-time interaction as a function of spatial and temporal separation, and provides a useful reinterpretation of a popular test, due to Knox, for space-time interaction. Applications to simulated and real data indicate the method's potential.