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A local limit theorem for the critical age-dependent branching process

Published online by Cambridge University Press:  14 July 2016

David L. Quigg*
Affiliation:
Texas Tech University

Abstract

Let Z(t) denote the number of particles alive at time t in a critical age-dependent branching process. It is proved that, for k ≧ 1, there exists a constant Ak > 0 such that t2P(Z(t) = k)→Ak as t→∞.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1978 

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References

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