On Secondary Processes Generated by Random Point Distributions

In the paper [3] we have given a rigorous mathematical model and a general method for solving special problems in connection with secondary processes generated by a random point distribution of Poisson type. A random point distribution is a random selection of a finite or countably infinite number of points of an abstract set T where a σ-algebra ST is given. It is supposed that if ξ(A) denotes the number of random points lying in the set A ∈ ST then it is a random variable i.e. ξ(A) is measurable in the sample space (a sample element is a selection of a finite or countably infinite number of points of T ). A random point distribution is called of Poisson type if to disjoint sets A1, . . . , Ar of ST there correspond independent random variables ξ(A1), . . . , ξ(Ar) and there is a σ-finite measure λ(A), A ∈ ST such that