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Limiting Distributions and Regeneration Times for Multitype Branching Processes with Immigration in a Random Environment

Limiting Distributions and Regeneration Times for Multitype Branching Processes with Immigration in a Random Environment

Sufficient conditions for the existence of a limiting distribution for a multitype branching process with immigration in a random environment, $Z(t)$, are given. In the case when the environment is an independent, identically distributed sequence, sufficient conditions are given which insure that the tail of the distribution of $\nu = …