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Some characterizations for the Poisson distribution starting with a power-series distribution

Published online by Cambridge University Press:  24 October 2008

D. N. Shanbhag  and
R. M. Clark
D. N. Shanbhag
Affiliation:
Sheffield University
R. M. Clark
Affiliation:
Sheffield University
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Extract

Let X be a non-negative discrete random variable with distribution {Px} and Y be a random variable denoting the undestroyed part of the random variable X when it is subjected to a destructive process such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 71 , Issue 3 , May 1972 , pp. 517 - 522
Copyright
Copyright © Cambridge Philosophical Society 1972

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References

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