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.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Kaplan N. (1970) Topics in the Theory of Branching Processes with Random Environments. Ph.D. Thesis, Stanford University.
2. On Branching Processes in Random Environments
3. Athreya K. B. and Karlin S. (1971) Branching processes with random environments. II: Limit theorems. To appear.
4. Kaplan N. (1971) A note on a supercritical B.P.R.E. To appear.
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