A 2-spine decomposition of the critical Galton-Watson tree and a probabilistic proof of Yaglom’s theorem

Electronic Communications in Probability

Yan-Xia Ren¹ 

关键词: Galton-Watson process;    Galton-Watson tree;    spine decomposition;    Yaglom’s theorem;    martingale change of measure;   

DOI  :  10.1214/18-ECP143

学科分类：统计和概率

来源: Institute of Mathematical Statistics

【 摘 要 】

In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom’s theorem.

【 授权许可】

CC BY