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.
Some results concerning decompositions of Kn, K,, -F (where F denotes a I-factor) and complements of a family of special cubic graphs into 2-factors of the same type are given. In particular, if 2d is a divisor of n, it is shown that K, -F can be decomposed into 2-factors each of whose components is a cycle of length 2d.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.