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The genealogy of critical branching processes

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  • Durrett, R.

Abstract

In this paper we will obtain results concerning the distribution of generations and the degree of relationship of the individuals in a critical branching process {Z(t), t[greater-or-equal, slanted]0} and we will apply these results to obtain a "central limit theorem" for critical branching random walks.

Suggested Citation

  • Durrett, R., 1978. "The genealogy of critical branching processes," Stochastic Processes and their Applications, Elsevier, vol. 8(1), pages 101-116, November.
    • Handle: RePEc:eee:spapps:v:8:y:1978:i:1:p:101-116
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    Cited by:

    1. Liu, Rong-Li & Ren, Yan-Xia & Wang, Yingrui, 2024. "Coalescence times for critical Galton–Watson processes with immigration," Statistics & Probability Letters, Elsevier, vol. 210(C).
    2. D.A. Dawson & L.G. Gorostiza & A. Wakolbinger, 2000. "Hierarchical equilibria of branching populations," RePAd Working Paper Series lrsp-TRS389, Département des sciences administratives, UQO.
    3. Burden, Conrad J. & Soewongsono, Albert C., 2019. "Coalescence in the diffusion limit of a Bienaymé–Galton–Watson branching process," Theoretical Population Biology, Elsevier, vol. 130(C), pages 50-59.

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