Extinction of decomposable branching processes

V. A. Vatutin; E. E. Dyakonova

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arXiv · 1509.00759

Extinction of decomposable branching processes

V. A. Vatutin·E. E. Dyakonova

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Abstract

The asymptotic behavior, as $n\rightarrow \infty $ of the conditional distribution of the number of particles in a decomposable critical branching process $\mathbf{Z}% (m)=(Z_{1}(m),...,Z_{N}(m)),$ with $N$ types of particles at moment $m=n-k,\, k=o(n),$ is investigated given that the extinction moment of the process is $n$.

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V. A. Vatutin, E. E. Dyakonova. 2015-09-01. Extinction of decomposable branching processes. https://arxiv.org/abs/1509.00759

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