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The asymptotic frequencies of the types in a multitype age-dependent branching process allowing immigration
Published online by Cambridge University Press: 14 July 2016
Abstract
The mean square and almost sure convergence of W(t) = e–αtZ(t) is proved for a super-critical multitype age-dependent branching process allowing immigration at the epochs of a renewal process. It is shown that the Malthusian parameter, asymptotic frequencies of types and stationary age distributions are the same for the processes with and without immigration.
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- Copyright © Applied Probability Trust 1973
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