On a Theorem of Quine and Seneta for the Galton-Watson Process With Immigration |
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Authors: | A. G. Pakes |
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Affiliation: | Monash University |
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Abstract: | Recently a limit theorem has been obtained for the limiting-stationary distribution of a process in which individuals reproduce as in a subcritical Galton-Watson process and are subject to an independent immigration component at each generation. This paper provides a different proof of this theorem, and under slightly weaker conditions. A similar approach is used to obtain a limit form of Taglom's theorem for the ordinary subcritical Galton-Watson process. |
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