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A note on Markov branching processes

Published online by Cambridge University Press:  01 July 2016

Fred M. Hoppe
Fred M. Hoppe*
Affiliation:
The University of Michigan, Ann Arbor
*
∗Postal address: Department of Statistics, The University of Michigan, Ann Arbor, MI 48109, USA.
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Abstract

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We present a simple proof of Zolotarev’s representation for the Laplace transform of the normalized limit of a Markov branching process and relate it to the Harris representation.

Keywords

GALTON–WATSON: BACKWARD KOLMOGOROV EQUATIONLAPLACE TRANSFORM

Information

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 17 , Issue 2 , June 1985 , pp. 463 - 464
Copyright
Copyright © Applied Probability Trust 1985 

References

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Zolotarev, V. M. (1957) More exact statements of several theorems in the theory of branching processes. Theory Prob. Appl. 2, 245–253.CrossRefGoogle Scholar