Spatio-Temporal Point Processes: Methods and Applications
This chapter is concerned with the analysis of data whose basic format is (xi, ti) : i = 1, . . . , n, where each xi denotes the location and ti the corresponding time of occurrence of an event of interest. We shall assume that the data form a complete record of all events which occur within a pre-speciﬁed spatial region A and a prespeciﬁed time-interval, (0, T ). We call a data-set of this kind a spatio-temporal point pattern, and the underlying stochastic model for the data a spatio-temporal point process.