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

  • Yi-Ching Yao (a1)
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.

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Postal address: Institute of Statistical Science, Academia Sinica, Taipei, Taiwan.
References
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Kingman, J. F. C. (1993) Poisson Processes. Oxford University Press, Oxford.
Rényi, A. (1967) Remarks on the Poisson process. Studia Sci. Math. Hungarica 2, 119123.
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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