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Almost sure limit results for the supercritical Bellman-Harris process

Published online by Cambridge University Press:  14 July 2016

Thomas Kuczek
Thomas Kuczek*
Affiliation:
Rutgers University
*
∗Postal address: Cook College, Statistics and Computer Science, Rutgers University, P.O. Box 231, New Brunswick, NJ 08903, U.S.A.
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Abstract

As a consequence of the convergence of the age distribution, several other limit results follow for supercritical Bellman-Harris processes. These concern the distribution of split times, the growth ‘rate' of the process, and the distribution of ancestral lifelengths.

Keywords

AGE DISTRIBUTIONLIMITINGSPLIT TIMESANCESTRAL LIFELENGTHS
Type
Short Communications
Information
Journal of Applied Probability , Volume 19 , Issue 3 , September 1982 , pp. 668 - 674
Copyright
Copyright © Applied Probability Trust 1982 

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References

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