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On Kingman's characteristic functional approach to Rényi's characterization of Poisson processes

Part of: Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Yi-Ching Yao
Yi-Ching Yao*
Affiliation:
Colorado State University and Academia Sinica
*
∗Postal address: Institute of Statistical Science, Academia Sinica, Taipei, Taiwan.
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Abstract

In his recent monograph on Poisson processes, Kingman generalized Rényi's characterization of Poisson processes and also suggested a characteristic functional approach. A direct proof is given along this line.

Keywords

CHARACTERISTIC FUNCTIONALPOISSON PROCESS

MSC classification

Primary: 60G55: Point processes
Type
Research Papers
Information
Journal of Applied Probability , Volume 33 , Issue 2 , September 1996 , pp. 439 - 442
Copyright
Copyright © Applied Probability Trust 1996 

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References

Kingman, J. F. C. (1993) Poisson Processes. Oxford University Press, Oxford.Google Scholar
Rényi, A. (1967) Remarks on the Poisson process. Studia Sci. Math. Hungarica 2, 119–123.Google Scholar