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Extinction probability for critical age-dependent branching processes with generation dependence

Published online by Cambridge University Press:  14 July 2016

Dean H. Fearn
Dean H. Fearn*
Affiliation:
California State University, Hayward
*
∗ Postal address: Department of Statistics, California State University, Hayward, CA 94542, U.S.A.
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Abstract

The limiting behavior of the probability of extinction of critical age-dependent branching processes with generation dependence is obtained using Goldstein's methods. Regularity conditions on the mean and variance of the birth distributions are assumed. Also the lifespan distribution is assumed to satisfy suitable regularity conditions.

Keywords

GENERATION DEPENDENTAGE DEPENDENTCRITICALEXTINCTION PROBABILITY

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 17 , Issue 1 , March 1980 , pp. 16 - 24
Copyright
Copyright © Applied Probability Trust 1980 

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References

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