A theorem on regular infinitely divisible cox processes

Peter F. Thall

doi:10.1016/0304-4149(84)90021-8

A theorem on regular infinitely divisible cox processes

Peter F. Thall

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	205-210
Number of pages	6
Journal	Stochastic Processes and their Applications
Volume	16
Issue number	2
DOIs	https://doi.org/10.1016/0304-4149(84)90021-8
State	Published - Feb 1984
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1016/0304-4149(84)90021-8

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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.",

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AB - 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.

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A theorem on regular infinitely divisible cox processes

Abstract

ASJC Scopus subject areas

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