Geodesic
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

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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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     author = {T. K. Fakhrutdinova},
     title = {On {Conditions} of {Extinction} for the {State-Dependent} {Branching} {Processes} in a {Random} {Environment}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {818--822},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2008_53_4_a11/}
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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/