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Limiting distributions for the general branching process with immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
For the general age-dependent branching process subject to an arbitrary pattern of immigration asymptotic distributions are studied in the supercritical and critical cases. In the supercritical case a new functional form is given for the limiting cumulant-generating function and in the critical case moment conditions are given under which a randomized gamma limit law prevails. The age-structure is also considered.
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- Copyright © Applied Probability Trust 1974
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