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Convergence of age and type distributions in multitype critical Bellman-Harris processes

Published online by Cambridge University Press:  14 July 2016

K. Rama Murthy
K. Rama Murthy*
Affiliation:
Indian Statistical Institute, Bangalore
*
∗Postal address: Indian Statistical Institute, Bangalore Centre, 31 Church St, Bangalore 560 001, India.
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Abstract

The age and type distributions (conditioned on non-extinction) in a critical Bellman-Harris process are shown to converge in probability to a deterministic distribution under a finite first-moment hypothesis on the offspring distribution and a tightness condition on the lifetime distributions.

Keywords

BELLMAN–HARRIS PROCESSCRITICALEXTINCTION PROBABILITIESAGE AND TYPE DISTRIBUTIONS
Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 948 - 955
Copyright
Copyright © Applied Probability Trust 

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References

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