A theorem on regular infinitely divisible cox processes

Peter F. Thall

Stochastic Processes and their Applications, 1984, vol. 16, issue 2, 205-210

Abstract: If a regular infinitely divisible (Poisson cluster) point process is Coxian (doubly stochastic Poisson, subordinated Poisson), then the number of points per cluster either takes on each positive integer value with positive probability or is identically equal to one. In particular, a Gauss-Poisson process can not be Coxian.

Date: 1984
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