I. S. Badalbaev, T. D. Yakubov, “Limit theorems for the critical Galton–Watson processes with migration”, Teor. Veroyatnost. i Primenen., 1995, Volume 40, Issue 4,Pages <nobr>833

This article is cited in 2 papers

Limit theorems for the critical Galton–Watson processes with migration

I. S. Badalbaev, T. D. Yakubov^a

^a Institute of Mathematics of the National Academy of Sciences of Uzbekistan

Abstract: 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, migration, stationary measure, generating function, regularly varying function, Tauberian theorem.

Received: 09.02.1993