Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-25T04:58:37.954Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

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