Supercritical age-dependent branching processes with immigration

Norman Kaplan and A. G. Pakes

Stochastic Processes and their Applications, 1974, vol. 2, issue 4, 371-389

Abstract: This paper considers a population process where individuals reproduce according to an age-dependent branching process and immigrants enter the population at the event epochs of an ergodic point process. A limit theorem is proven for what corresponds to the supercritical case, and the limit random variable is investigated.

Date: 1974
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