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Title: On Critical Branching Migration Processes with Predominating Emigration
Authors: Yanev, George P.
Yanev, Nickolay M.
Keywords: branching migration
stopped at zero
limit theorems
Department of Probability and Statistics
Issue Date: May-1993
Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
Citation: Preprint
Series/Report no.: 1993;1
Abstract: The branching migration processes generalize the classical Bienaym√© - Watson process allowing a migration component in each generation: with probability p the offspring of one particle is eliminated (family emigration) or with probability q there is not any migration or with probability r a state-dependent immigration of new particles is available, p + q + r = 1. The processes stopped at zero are also considered. It is investigated the critical case when the migration mean in the non-zero states is negative (predominating emigration). The asymptotic behaviour of the life-period, the probability of non-extinction and moments is obtained and limit theorems are also proved.
Appears in Collections:Scientific Reports

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