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.
Received: 16.04.2024
Document Type:
Article
UDC:519.218.27
Language: Russian
Citation:
M. R. Abdyushev, “Limit theorem for the distribution of the extinction time of subcritical bisexual branching process with large initial number of particles”, Diskr. Mat., 36:4 (2024), 3–12
\Bibitem{Abd24}
\by M.~R.~Abdyushev
\paper Limit theorem for the distribution of the extinction time of subcritical bisexual branching process with large initial number of particles
\jour Diskr. Mat.
\yr 2024
\vol 36
\issue 4
\pages 3--12
\mathnet{http://mi.mathnet.ru/dm1834}
\crossref{https://doi.org/10.4213/dm1834}
Citation in format AMSBIB
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