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JOURNALS // Diskretnaya Matematika // Archive

Diskr. Mat., 2024 Volume 36, Issue 4, Pages 3–12 (Mi dm1834)

Limit theorem for the distribution of the extinction time of subcritical bisexual branching process with large initial number of particles

M. R. Abdyushev

Lomonosov Moscow State University

Abstract: In this paper we consider subcritical bisexual branching processes with large initial number of particles. This work explores the extinction time $T$ of such bisexual branching processes. We demonstrate that $T$ has logarithmic rate with respect to the initial number of particles.

Keywords: limit theorem, extinction time, subcritical bisexual branching process, large initial number of particles.

UDC: 519.218.27

Received: 16.04.2024

DOI: 10.4213/dm1834



© Steklov Math. Inst. of RAS, 2026