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Asymptotic behaviour of continuous time, continuous state-space branching processes

Published online by Cambridge University Press:  14 July 2016

D. R. Grey
D. R. Grey*
Affiliation:
University of Sheffield
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Abstract

Results on the behaviour of Markov branching processes as time goes to infinity, hitherto obtained for models which assume a discrete state-space or discrete time or both, are here generalised to a model with both state-space and time continuous. The results are similar but the methods not always so.

Keywords

BRANCHING PROCESSESCONTINUOUS STATE-SPACECONTINUOUS TIMELIMIT LAWLAPLACE TRANSFORMFUNCTIONAL ITERATION
Type
Research Papers
Information
Journal of Applied Probability , Volume 11 , Issue 4 , December 1974 , pp. 669 - 677
Copyright
Copyright © Applied Probability Trust 1974 

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References

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