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A note on the Harris-Sevast'yanov transformation for supercritical branching processes
Published online by Cambridge University Press: 09 April 2009
Abstract
We show that the Harris-Sevast'yanov transformation for supercritical Galton-Watson processes with positive extinction probability q can be modified in such a way that the extinction probability of the new process takes any value between 0 and q. We give a probabilistic interpretation for the new process. This note is closely related to Athreya and Ney (1972), Chapter 1.12.
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- Copyright © Australian Mathematical Society 1982
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