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A theorem on compositions of random probability generating functions and applications to branching processes with random environments

Published online by Cambridge University Press:  14 July 2016

Norman Kaplan*
Affiliation:
University of California, Berkeley

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.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1972 

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References

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