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An extension of the Rao-Rubin characterization of the Poisson distribution

Published online by Cambridge University Press:  14 July 2016

D. N. Shanbhag
D. N. Shanbhag*
Affiliation:
University of Sheffield
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Abstract

Using Bernstein's theorem concerning absolutely monotonic functions, Rao and Rubin (1964) have established a characterization of the Poisson distribution. The present note arrives at an extended version of this result using a technique existing in the renewal theory. A variant of a related result due to Srivastava and Srivastava (1970) and an extension of the result of Talwalker (1970) are also presented.

Keywords

CHARACTERIZATIONPOISSON DISTRIBUTIONRENEWAL THEORY
Type
Short Communications
Information
Journal of Applied Probability , Volume 14 , Issue 3 , September 1977 , pp. 640 - 646
Copyright
Copyright © Applied Probability Trust 1977 

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References

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