Coalescence times for critical Galton–Watson processes with immigration

Rong-Li Liu, Yan-Xia Ren and Yingrui Wang

Statistics & Probability Letters, 2024, vol. 210, issue C

Abstract: Let XnI be the coalescence time of two particles picked at random from the nth generation of a critical Galton–Watson process with immigration, and let AnI be the coalescence time of the whole population in the nth generation. In this paper, we study the limiting behaviors of XnI and AnI as n→∞.

Keywords: Critical Galton–Watson process; Immigration; Coalescence times (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110121

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