The existence of moments of the conditioned limit of the subcritical Crump-Mode-Jagers branching process

J. H. Bagley

Stochastic Processes and their Applications, 1985, vol. 20, issue 2, 333-341

Abstract: If Z (t) is the sum of the characteristics at time t of the population in a Crump-Mode-Jagers branching process, and T is the time to extinction, it is known that under certain conditions, the distribution of Z (t) conditioned on {T > t} converges to a proper distribution as t-->[infinity]. We derive necessary and sufficient conditions in terms of the offspring process, for the existence of integral moments of this limit distribution.

Keywords: Crump-Mode-Jagers; branching; processes; subcritical; branching; processes; moments; conditioned; limit; convergence; in; distribution (search for similar items in EconPapers)
Date: 1985
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