An upper bound for the mean of Yaglom's limit
- 1 March 1978
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 15 (01) , 199-201
- https://doi.org/10.1017/s0021900200105741
Abstract
For a single-type Galton—Watson branching process with mean less than one and finite second moment, we establish an upper bound for the mean of the associated Yaglom limit. This bound is attained if and only if the generating function of the process is linear.Keywords
This publication has 2 references indexed in Scilit:
- Asymptotic properties of supercritical branching processes I: The Galton-Watson processAdvances in Applied Probability, 1974
- On the Galton-Watson Branching Process with Mean Less than OneThe Annals of Mathematical Statistics, 1967