Limit theorems for the integrals of some branching processes

A. G. Pakes

Stochastic Processes and their Applications, 1975, vol. 3, issue 1, 89-111

Abstract: A number of limit theorems for the integral of a non-supercritical age-dependent branching process with immigration are found. Some results are given for the subcritical case without immigration, but conditioned to stay positive. Finally a central limit theorem is given for the population size of the subcritical immigration set up under a condition when no limiting distribution exists.

Date: 1975
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