On the number of productive individuals in the Bienayme–Galton–Watson process with immigration

I. Rahimov and S. Kurbanov

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 76, issue 1, 177-180

Abstract: Let Z(τ,t) is the number of individuals at time τ having more than θ(t−τ) descendants at time t,t>τ. Here θ(t) is some non-negative function. Limit distributions for Z(τ,t) when population evolves according to critical branching processes with time homogeneous immigration and distribution of the number of descendants has finite variance are obtained. An application to study of the number of “big” trees in a forest containing a random number of trees is also discussed.

Keywords: Reduced process; Finite variance; Gamma distribution; Normal distribution; Large population (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2007:i:1:p:177-180

DOI: 10.1016/j.matcom.2007.01.024

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