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 journalArticlepeer-review

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 languageEnglish (US)
JournalElectronic Communications in Probability
Volume23
DOIs
StatePublished - 2018

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

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