# On the Maximum of a Branching Process Conditioned on the Total Progeny

Serdica Mathematical Journal (1999)

- Volume: 25, Issue: 2, page 141-176
- ISSN: 1310-6600

## Access Full Article

top## Abstract

top## How to cite

topKerbashev, Tzvetozar. "On the Maximum of a Branching Process Conditioned on the Total Progeny." Serdica Mathematical Journal 25.2 (1999): 141-176. <http://eudml.org/doc/11511>.

@article{Kerbashev1999,

abstract = {The maximum M of a critical Bienaymé-Galton-Watson process
conditioned on the total progeny N is studied. Imbedding of the process in
a random walk is used. A limit theorem for the distribution of M as N → ∞
is proved. The result is trasferred to the non-critical processes. A corollary
for the maximal strata of a random rooted labeled tree is obtained.},

author = {Kerbashev, Tzvetozar},

journal = {Serdica Mathematical Journal},

keywords = {Bienaymé-Galton-Watson Branching Process; Maximum; Total Progeny; Left-Continuous Random Walk; Random Rooted Labeled Trees; Bienaymé-Galton-Watson branching process; total progeny; left-continuous random walk; random rooted labeled trees},

language = {eng},

number = {2},

pages = {141-176},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {On the Maximum of a Branching Process Conditioned on the Total Progeny},

url = {http://eudml.org/doc/11511},

volume = {25},

year = {1999},

}

TY - JOUR

AU - Kerbashev, Tzvetozar

TI - On the Maximum of a Branching Process Conditioned on the Total Progeny

JO - Serdica Mathematical Journal

PY - 1999

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 25

IS - 2

SP - 141

EP - 176

AB - The maximum M of a critical Bienaymé-Galton-Watson process
conditioned on the total progeny N is studied. Imbedding of the process in
a random walk is used. A limit theorem for the distribution of M as N → ∞
is proved. The result is trasferred to the non-critical processes. A corollary
for the maximal strata of a random rooted labeled tree is obtained.

LA - eng

KW - Bienaymé-Galton-Watson Branching Process; Maximum; Total Progeny; Left-Continuous Random Walk; Random Rooted Labeled Trees; Bienaymé-Galton-Watson branching process; total progeny; left-continuous random walk; random rooted labeled trees

UR - http://eudml.org/doc/11511

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.