A note on the maximal outdegrees of Galton-Watson trees

作者：He, Xin^*

来源：Statistics & Probability Letters, 2016, 109: 1-6.

DOI：10.1016/j.sp1.2015.10.014

• Galton-Watson
• Random tree
• Maximal outdegree

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.

• 出版日期2016-2
• 单位北京师范大学