It is shown that all stationary self-exciting point processes with finite intensity may be
represented as Poisson cluster processes which are age-dependent immigration-birth …

Maintaining the excellent features that made the first edition so popular, this outstanding
reference/text presents the only comprehensive treatment of the theory of point processes …

A marked spatial point pattern of trees and their diameters is the result of a dynamic
biological process that takes place over time as well as space. Such patterns can be …

Publisher Summary This chapter discusses the cases in which the concepts and procedures
of ordinary time series or point processes have direct analogs in the study of point processes …

In this paper we consider a Poisson cluster process N as a generating process for the
arrivals of packets to a server. This process generalizes in a more realistic way the infinite …

Implicit in the fitting of negative binomial distributions to quadrat count data is an
assumption, based partly on additivity, that if the areas of the quadrats are systematically …

We give a rigorous definition of germ-grain models (ggm's) which were introduced in [6] as
at most countable unions of random closed sets (called grains) in translated by the atoms …

For stationary Poisson cluster processes (PCP's) Ø on R the limit behaviour, as v (D)→∞, of
the quantity article empty (v\left(D\right)\right)^-1∑xεD:ϕ\left(\left{x\right\}\right)=1χ\left(x,r …

Newman (1970) introduced an interesting new class of point processes which he called
Gauss-Poisson. They are characterized, in the most general case, by two measures. We …

The problem of estimating $\operatorname {Prob}(X (B)\leq x) $ for large regions $
B\subset\mathbb {R}^ d $ when $ X $ is a random measure is solved under a condition of …