A theorem on compositions of random probability generating functions and applications to branching processes with random environments
- 1 March 1972
- journal article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 9 (1) , 1-12
- https://doi.org/10.2307/3212631
Abstract
The results of this paper deal directly with the behavior of compositions of random probability generating functions. These results are then applied to the theory of branching processes with random environments. In particular, it is shown that it is not possible to strengthen many of the existing limit theorems on this subject.Keywords
This publication has 5 references indexed in Scilit:
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