Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3222

 Title: On Critical Branching Migration Processes with Predominating Emigration Authors: Yanev, George P.Yanev, Nickolay M. Keywords: branching migrationstopped at zerolife-periodextinctionmomentslimit theoremsDepartment 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 Bienaymé - 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. URI: http://hdl.handle.net/10525/3222 Appears in Collections: Preprints

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