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Bellman–Harris branching processes with state-dependent immigration

  • K. V. Mitov (a1) and N. M. Yanev (a1)

Abstract

We consider critical Bellman-Harris processes which admit an immigration component only in the state 0. The asymptotic behaviour of the probability of extinction and of the first two moments is investigated and a limit theorem is also proved.

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Corresponding author

Postal address: Department of Probability and Statistics, Institute of Mathematics, Bulgarian Academy of Sciences, 1090 Sofia, P.O. Box 373, Bulgaria.

References

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Mitov, K. V. (1983) Multitype branching process with immigration in the state zero. Proc. 12th Spring Conf. Union Bulgar. Math., Sunny Beach, 6-9 April 1983 , 202207 (in Russian).
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Keywords

Bellman–Harris branching processes with state-dependent immigration

  • K. V. Mitov (a1) and N. M. Yanev (a1)

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