On Conditions of Extinction for the State-Dependent Branching Processes in a Random Environment
Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 4, pp. 818-822 Cet article a éte moissonné depuis la source Math-Net.Ru

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We study conditions of extinction of the state-dependent branching processes in a random environment, based on applying the Kersting criterion for growth models to the logarithm of the branching process.
Keywords: branching process, state dependency, random environment, inequalities for the moments of sums of random variables.
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T. K. Fakhrutdinova. On Conditions of Extinction for the State-Dependent Branching Processes in a Random Environment. Teoriâ veroâtnostej i ee primeneniâ, Tome 53 (2008) no. 4, pp. 818-822. http://geodesic.mathdoc.fr/item/TVP_2008_53_4_a11/

[1] Kersting G., “On recurrence and transience of growth models”, J. Appl. Probab., 23 (1986), 614–625 | DOI | MR | Zbl

[2] Albeverio S., Kozlov M. V., “O rekurrentnosti i tranzientnosti zavisyaschikh ot sostoyaniya vetvyaschikhsya protsessov v sluchainoi srede”, Teoriya veroyatn. i ee primen., 48:4 (2003), 641–660 | MR | Zbl

[3] Vatutin V. A., Topchii V. A., “Maksimum kriticheskikh protsessov Galtona–Vatsona i nepreryvnye sleva sluchainye bluzhdaniya”, Teoriya veroyatn. i ee primen., 42:1 (1997), 21–34 | MR | Zbl