A note on the maximal outdegrees of Galton–Watson trees

Xin He

Statistics & Probability Letters, 2016, vol. 109, issue C, 1-6

Abstract: In this note we consider both the local maximal outdegrees and the global maximal outdegree of Galton–Watson trees. In particular, we show that the tail of any local maximal outdegree and that of the offspring distribution are asymptotically equivalent up to a certain factor. However for the global maximal outdegree, this is only true in the subcritical case.

Keywords: Galton–Watson; Random tree; Maximal outdegree (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S016771521500365X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:109:y:2016:i:c:p:1-6

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

DOI: 10.1016/j.spl.2015.10.014

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().