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Bellman-Harris branching processes with a special type of state-dependent immigration

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

Abstract

We investigate critical Bellman-Harris processes which allow immigration of new particles whenever the population size is 0. Under some special conditions on the immigration component the asymptotic behaviour of the probability of extinction is obtained and limit theorems are also proved.

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Corresponding author

Postal address for both authors: Department of Probability and Statistics, Institute of Mathematics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev str., 1113 Sofia, Bulgaria.

References

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Keywords

Bellman-Harris branching processes with a special type of state-dependent immigration

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

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