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An order statistic characterization of the poisson renewal process

Published online by Cambridge University Press:  14 July 2016

Uri Liberman
Uri Liberman*
Affiliation:
Tel-Aviv University
*
∗Postal address: Department of Statistics, Tel-Aviv University, Ramat-Aviv, Israel
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Abstract

Using the characterization of point processes having the order statistic property we prove that the only renewal process that has the order statistic property is the Poisson process.

Keywords

ORDER STATISTIC PROPERTYPOINT PROCESS
Type
Short Communications
Information
Journal of Applied Probability , Volume 22 , Issue 3 , September 1985 , pp. 717 - 722
Copyright
Copyright © Applied Probability Trust 1985 

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Footnotes

Research supported in part by NIH grants GM 28016 and GM 10452.

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