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
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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 -
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