A point process is a probabilistic model for random scatterings of points on some space often assumed to be a subset of
for some . Oftentimes, point processes describe the occurrence over
time of random events in which the occurrences are revealed
one-by-one as time evolves; in this case, any collection
of occurrences is said to be a realization of the point process.
Poisson processes are regarded as archetypal examples
of point processes (Daley and Vere-Jones 2002).
A temporal point process can equivalently be represented by its associated counting
process; point processes are also known as random scatters.
often assumed to be a subset of
for some 
. Oftentimes, point processes describe the occurrence over
time of random events in which the occurrences are revealed
one-by-one as time evolves; in this case, any collection
