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The total progeny of a simple branching process with state-dependent immigration

Published online by Cambridge University Press:  14 July 2016

M. V. Kulkarni  and
A. G. Pakes
M. V. Kulkarni*
Affiliation:
University of Poona
A. G. Pakes*
Affiliation:
University of Western Australia
*
∗ Postal address: Department of Statistics, University of Poona, Pune 411007, India.
∗∗ Postal address: Department of Mathematics, University of Western Australia, Nedlands, WA 6009, Australia.
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Abstract

The paper establishes limit theorems for the total progeny of a simple branching process in which immigration is allowed whenever the population size reaches 0.

Keywords

BRANCHING PROCESSLIMIT THEOREMSRENEWAL THEORY
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 472 - 481
Copyright
Copyright © Applied Probability Trust 1983 

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References

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