Transience and Recurrence of Branching Processes with State-Dependent Offspring Distributions.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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Let X sub n denote the Galton-Watson branching process with immigration at the zero state, and reproduction via the ith of a countable set of offspring distributions, when X sub n i not 0. Conditions are presented which are sufficient for transience, recurrence, and positive-recurrence of X sub n.
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