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Multitype processes with reproduction-dependent immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
The multitype discrete time indecomposable branching process with immigration is considered. Using a martingale approach a limit theorem is proved for such processes when the totality of immigrating individuals at a given time depends on evolution of the processes generating by previously immigrated individuals. Corollaries of the limit theorem are obtained for the cases of finite and infinite second moments of offspring distribution in critical processes.
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- Copyright © Applied Probability Trust 1998
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