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Title: On the Maximum of a Branching Process Conditioned on the Total Progeny
Authors: Kerbashev, Tzvetozar
Keywords: Bienaymé-Galton-Watson Branching Process
Total Progeny
Left-Continuous Random Walk
Random Rooted Labeled Trees
Issue Date: 1999
Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation: Serdica Mathematical Journal, Vol. 25, No 2, (1999), 141p-176p
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.
ISSN: 1310-6600
Appears in Collections:Volume 25 Number 2

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