ABSTRACT

Throughout this chapter, unless otherwise stated we assume that the available data form a partial realisation of a spatially and temporally continuous process, consisting of the locations and times, {(xi, ti) : i = 1, ..., n}, of all the events of the process that lie within a designated spatio-temporal region A × T . We also assume that the underlying process is orderly, so that ties amongst ti arise only through round-off error and can legitimately be broken by randomly unrounding. Finally, without loss of generality we label the events in time-order so that, after unrounding if necessary, ti < ti+1 for all i.