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Teoriya Veroyatnostei i ee Primeneniya, 1995, Volume 40, Issue 4, Pages 833–849
(Mi tvp3665)
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This article is cited in 2 scientific papers (total in 2 papers)
Limit theorems for the critical Galton–Watson processes with migration
I. S. Badalbaev, T. D. Yakubova 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
Citation:
I. S. Badalbaev, T. D. Yakubov, “Limit theorems for the critical Galton–Watson processes with migration”, Teor. Veroyatnost. i Primenen., 40:4 (1995), 833–849; Theory Probab. Appl., 40:4 (1995), 599–612
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https://www.mathnet.ru/eng/tvp3665 https://www.mathnet.ru/eng/tvp/v40/i4/p833
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Abstract page: | 167 | Full-text PDF : | 51 | First page: | 12 |
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