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

Journal of the Australian Mathematical Society

H.-J. Schuh¹ 

关键词: 60 J 80;   

DOI  :  10.1017/S1446788700024563

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown