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Expected population size in the generation-dependent branching process

Published online by Cambridge University Press:  14 July 2016

J. D. Biggins  and
Thomas Götz
J. D. Biggins*
Affiliation:
University of Sheffield
Thomas Götz
Affiliation:
University of Heidelberg
*
∗Postal address: Department of Probability and Statistics, The University, Sheffield S3 7RH, England.
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Abstract

A Malthusian parameter for the generation-dependent general branching process is introduced and some asymptotics of the expected population size, counted by a general non-negative characteristic, are discussed. Processes both with and without immigration are considered.

Keywords

IMMIGRATIONMALTHUSIAN PARAMETER
Type
Research Papers
Information
Journal of Applied Probability , Volume 24 , Issue 2 , June 1987 , pp. 304 - 314
Copyright
Copyright © Applied Probability Trust 1987 

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Footnotes

∗∗

Present address: J. P. Sharp GmbH, Myliusstr. 45, 6000 Frankfurt/Main, W. Germany. Supported in part by Deutsche Forschungsgemeinschaft (SFB 123).

References

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