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

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.

Type
Research Papers
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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