This article is cited in 10 papers

Extinction of decomposable branching processes

Vladimir A. Vatutin, Elena E. Dyakonova

Steklov Mathematical Institute of Russian Academy of Sciences

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

Keywords: decomposable branching processes, criticality, conditional limit theorems.

UDC: 519.218.24

Received: 18.06.2015

DOI: 10.4213/dm1345

 English version: Discrete Mathematics and Applications, 2016, 26:3, 183–192

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ArXiv: 1509.00759