Abstract
The life, past and future are described of a typical individual in an old, non-extinct branching population, where individuals may give birth as a point process and have types in an abstract type space. The type, age and birth-rank distributions of the typical individual are explicitly given, as well as the Markov renewal type process that describes her history. The convergence of expected and actual compositions towards stable, asymptotic compositions is proved.
This work has been supported by a grant from the Swedish Natural Science Research Council
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Jagers, P., Nerman, O. (1996). The asymptotic composition of supercritical, multi-type branching populations. In: Azéma, J., Yor, M., Emery, M. (eds) Séminaire de Probabilités XXX. Lecture Notes in Mathematics, vol 1626. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094640
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DOI: https://doi.org/10.1007/BFb0094640
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