On the structure of regular infinitely divisible point processes

Larry P. Ammann and Peter F. Thall

Stochastic Processes and their Applications, 1977, vol. 6, issue 1, 87-94

Abstract: A representation for the probability generating functional (p.g.fl.) of a regular infinitely divisible (i.d.) stochastic point process, motivated as a generalization of the Gauss-Poisson process, is presented. The functional is characterized by a sequence of Borel product measures. Necessary and sufficient conditions, in terms of these Borel measures, are given for this representation to be a p.g.fl., thus characterizing all regular i.d. point processes.

Date: 1977
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