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Asymptotic behavior of near-critical multitype branching processes

Published online by Cambridge University Press:  14 July 2016

Fima C. Klebaner
Fima C. Klebaner*
Affiliation:
University of Melbourne
*
∗ Postal address: Department of Statistics, Richard Berry Building, University of Melbourne, Parkville, VIC 3052, Australia.
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Abstract

Sufficient conditions for survival and extinction of multitype population-size-dependent branching processes in discrete time are obtained. Growth rates are determined on the set of divergence to infinity. The limiting distribution of a properly normalized process can be generalized gamma, normal or degenerate.

Keywords

MULTIDIMENSIONAL MARKOV CHAINSCRITICALITYGROWTH RATES
Type
Research Papers
Information
Journal of Applied Probability , Volume 28 , Issue 3 , September 1991 , pp. 512 - 519
Copyright
Copyright © Applied Probability Trust 1991 

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References

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