Exponential growth of a branching process usually implies stable age distribution
-
Published:1979-09
Issue:3
Volume:16
Page:651-656
-
ISSN:0021-9002
-
Container-title:Journal of Applied Probability
-
language:en
-
Short-container-title:Journal of Applied Probability
Author:
Berndtsson Bo,Jagers Peter
Abstract
Start a Bellman–Harris branching process from one or several ancestors, whose ages are identically distributed random variables. Assume that the life-length distribution decays more quickly than exponentially and that the distribution of ages at start does not give too much mass to high ages (in a sense to be made precise). Then, if the expected population size is an exponential function of time, the ages must follow the stable age distribution of the process.
Publisher
Cambridge University Press (CUP)
Subject
Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability
Reference5 articles.
1. Pólya G. (1949) Remarks on characteristic functions. Proc. Berkeley Symp. Math. Statist. Prob. , ed. Pólya G. 115–123.
2. Questions of regularity connected with the Phragmén–Lindelöf principle. I;Hayman;Math. Pures Appl.,1956
Cited by
6 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
1. On Determining Individual Behaviour from Population Data;Function Spaces, Differential Operators and Nonlinear Analysis;2003
2. The inverse problem of linear age-structured population dynamics;Journal of Evolution Equations;2002-05-01
3. References;Interdisciplinary Applied Mathematics;2002
4. Bibliography;Chance and Stability;1999-12-31
5. Branching processes. I;Journal of Soviet Mathematics;1987-10