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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*
Affiliation:
University of Sheffield

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.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1977 

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References

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