Bellman-Harris branching processes with a special type of state-dependent immigration-Reference-Cited by-同舟云学术

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

Published:1989-06 Issue:2 Volume:21 Page:270-283
ISSN:0001-8678
Container-title:Advances in Applied Probability
language:en
Short-container-title:Advances in Applied Probability

Author:

Mitov K. V.,Yanev N. M.

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.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference17 articles.

1. Mitov K. V. (1983) Multi-type branching processes with immigration in the state zero. Proc. 12th Spring Conf. Union of Bulgarian Mathematicians, Sunny Beach, 6–9 April, 1983, 202–207 (in Russian).

2. A branching process with a state dependent immigration component

3. Critical branching processes with decreasing state-dependent immigration;Mitov;C.R. Acad bulg. Sci.,1983

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