CONVERGENCE OF TYPE DISTRIBUTION IN A GENERAL GROWTH MODEL

K B ATHREYA, K RAMAMURTHY

Abstract


Athreya and Kaplan proved the convergence of the age distribution in a supercritical one-dimentional Bellman-Harris process. In this paper the techniques of that paper are applied to a general growth model introduced by Jagers. The results are also specialized to age-dependent birth and death processes.

Keywords


Age-dependent branching process; type-distribution; lagers' model; birth and death process convergence.

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