A conditional limit theorem for a critical Branching process with immigration
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The life period of a branching process with immigration begins at the moment T and has length τ if the number of particles μ(T −0)=0, μ(t)>0 for all T⩽t<T+τ, and μ(T+τ)=0 (the trajectories of the process are assumed to be continuous from the right). For a critical Markov branching process is obtained a limit theorem on the behavior of μ(t) under the condition that τ>t and T=0.
KeywordsLimit Theorem Life Period Conditional Limit Conditional Limit Theorem
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