Abstract
We show that the splitting-characterization of the Poisson point process is an immediate consequence of the Mecke-formula.
Citation
Benjamin Nehring. "A characterization of the Poisson process revisited." Electron. Commun. Probab. 19 1 - 5, 2014. https://doi.org/10.1214/ECP.v19-3622
Information
Accepted: 3 October 2014; Published: 2014
First available in Project Euclid: 7 June 2016
zbMATH: 1307.60063
MathSciNet: MR3269168
Digital Object Identifier: 10.1214/ECP.v19-3622
Subjects:
Primary:
60G55
Keywords:
Campbell measure
,
Poisson process
,
splitting
,
thinning
