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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.
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Theory of Probability and its Applications, 1995, 40:4, 599–612
Bibliographic databases:
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
Citation in format AMSBIB
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\jour Theory Probab. Appl.
\yr 1995
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\pages 599--612
\crossref{https://doi.org/10.1137/1140071}
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http://mi.mathnet.ru/eng/tvp3665 http://mi.mathnet.ru/eng/tvp/v40/i4/p833
Citing articles on Google Scholar:
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This publication is cited in the following articles:
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Yanev G.P., Yanev N.M., “A critical branching process with stationary-limiting distribution”, Stoch Anal Appl, 22:3 (2004), 721–738
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S. V. Nagaev, V. I. Vakhtel', “On sums of independent random variables without power moments”, Siberian Math. J., 49:6 (2008), 1091–1100
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