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

Published online by Cambridge University Press:  14 July 2016

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

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.

MSC classification

Type
Research Papers
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, 119123.Google Scholar