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An upper bound for the mean of Yaglom's limit

Published online by Cambridge University Press:  14 July 2016

Lawrence S. Evans
Lawrence S. Evans*
Affiliation:
Roosevelt University, Chicago, Illinois
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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

BRANCHING PROCESSYAGLOM LIMIT
Type
Short Communications
Information
Journal of Applied Probability , Volume 15 , Issue 1 , March 1978 , pp. 199 - 201
Copyright
Copyright © Applied Probability Trust 1978 

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References

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