A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem

Yan Xia Ren; Renming Song; Zhenyao Sun

doi:10.1214/18-ECP143

A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem

Yan Xia Ren, Renming Song, Zhenyao Sun

Research output: Contribution to journal › Article

Abstract

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.

Original language	English (US)
Journal	Electronic Communications in Probability
Volume	23
DOIs	https://doi.org/10.1214/18-ECP143
Publication status	Published - Jan 1 2018

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Keywords

Galton-Watson process
Galton-Watson tree
Martingale change of measure
Spine decomposition
Yaglom’s theorem

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Cite this

Ren, Y. X., Song, R., & Sun, Z. (2018). A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem. Electronic Communications in Probability, 23. https://doi.org/10.1214/18-ECP143

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10.1214/18-ECP143