Geodesic
Limit theorem for an intermediate subcritical branching process in a
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 453-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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The asymptotic behavior of the survival probability of an intermediate subcritical branching process $Z_n$ in a random environment is found when a transformation of the reproduction law of the offspring number is attracted to a stable law $\alpha\in (1,2]$. It is shown that the distribution of the random variable $\{Z_n\}$ given $Z_n>0$ converges to a nondegenerate distribution as $n\to\infty$.
Keywords: branching processes in a random environment, survival probability, intermediate subcritical process, limit theorem, random walks
Mots-clés : stable distributions. 
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V. A. Vatutin. Limit theorem for an intermediate subcritical branching process in a. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 453-465. http://geodesic.mathdoc.fr/item/TVP_2003_48_3_a1/

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