Geodesic
Limit theorems for the critical Galton--Watson processes with migration
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 833-849

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A critical Galton–Watson branching process with migration is considered. It is assumed that the variance of the number of offspring produced by a single particle is infinite and the mean size of migration is equal to zero. Limit theorems for the number of particles in the process under consideration are obtained.
Keywords: Galton–Watson branching process, stationary measure, generating function, regularly varying function, Tauberian theorem.
Mots-clés : migration 
@article{TVP_1995_40_4_a8,
     author = {I. S. Badalbaev and T. D. Yakubov},
     title = {Limit theorems for the critical {Galton--Watson} processes with migration},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {833--849},
     publisher = {mathdoc},
     volume = {40},
     number = {4},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a8/}
}
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I. S. Badalbaev; T. D. Yakubov. Limit theorems for the critical Galton--Watson processes with migration. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 833-849. http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a8/