Abstract
Let where {Zn, ℱn} is a non-negative submartingale satisfying Ei(Zn log Zn) →∞. It is shown that
When {Zn} is a simple critical Galton–Watson process and is slowly varying at∞, conditions are given ensuring that
This gives an alternative proof of a result recently established by Kammerle and Schuh.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference8 articles.
1. Moments of the maximum in a critical branching process
2. Regularly Varying Functions
3. On the maximum of a branching process;Lindvall;Scand J. Statist.,1976
4. The maximum in critical Galton–Watson and birth and death processes;Kammerle;J. Appl. Prob.,1986
5. Athreya K. B. (1986) On the maximum sequence in a critical branching process. Iowa State University Technical Report.
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献