Skip to main content Accessibility help
×
Home

Asymptotic behavior of near-critical multitype branching processes

  • Fima C. Klebaner (a1)

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.

Copyright

Corresponding author

Postal address: Department of Statistics, Richard Berry Building, University of Melbourne, Parkville, VIC 3052, Australia.

References

Hide All
Athreva, K. B. and Ney, P. E. (1972) Branching Processes. Springer-Verlag, Berlin.
Berman, A. and Plemmons, R. J. (1979) Nonnegative Matrices in Mathematical Sciences. Academic Press, New York.
Keller, G., Kersting, G. and Rösler, U. (1987) On the asymptotic behaviour of discrete time stochastic growth processes. Ann. Prob. 15, 305343.
Kersting, G. (1986) On recurrence and transience of growth models. J. Appl. Prob. 23, 614625.
Klebaner, F. C. (1989a) Stochastic difference equations and generalized gamma distributions. Ann. Prob. 17, 178188.
Klebaner, F. C. (1989b) Linear growth in near critical population size dependent multitype Galton–Watson processes. J. Appl. Prob. 26, 431445.

Keywords

Related content

Powered by UNSILO

Asymptotic behavior of near-critical multitype branching processes

  • Fima C. Klebaner (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.