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A note on the Harris-Sevast'yanov transformation for supercritical branching processes

H.-J. Schuh

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Source: Crossref

Published: Apr 1, 1982

DOI: 10.1017/s1446788700024563

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Source abstract

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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A note on the Harris-Sevast'yanov transformation for supercritical branching processes — Mathematical Frontier Network