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
State	Published - Jan 1 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

Access to Document

10.1214/18-ECP143

Fingerprint Dive into the research topics of 'A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem'. Together they form a unique fingerprint.

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

@article{aed1a05a5c954fd6bcc893f809ff62bc,

title = "A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom{\textquoteright}s theorem",

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{\textquoteright}s theorem.",

keywords = "Galton-Watson process, Galton-Watson tree, Martingale change of measure, Spine decomposition, Yaglom{\textquoteright}s theorem",

author = "Ren, {Yan Xia} and Renming Song and Zhenyao Sun",

year = "2018",

month = jan,

day = "1",

doi = "10.1214/18-ECP143",

language = "English (US)",

volume = "23",

journal = "Electronic Communications in Probability",

issn = "1083-589X",

publisher = "Institute of Mathematical Statistics",

}

TY - JOUR

T1 - A 2-spine decomposition of the critical galton-watson tree and a probabilistic proof of yaglom’s theorem

AU - Ren, Yan Xia

AU - Song, Renming

AU - Sun, Zhenyao

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - Galton-Watson process

KW - Galton-Watson tree

KW - Martingale change of measure

KW - Spine decomposition

KW - Yaglom’s theorem

UR - http://www.scopus.com/inward/record.url?scp=85050931503&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050931503&partnerID=8YFLogxK

U2 - 10.1214/18-ECP143

DO - 10.1214/18-ECP143

M3 - Article

AN - SCOPUS:85050931503

VL - 23

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

SN - 1083-589X

ER -