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The convergence of Galton–Watson branching processes with immigration to a diffusion process

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Publication:5391405
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DOI10.1090/S0094-9000-09-00777-7zbMath1224.60218MaRDI QIDQ5391405

Yakubdzhan M. Khusanbaev

Publication date: 6 April 2011

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)


zbMATH Keywords

stochastic differential equationweak convergenceSkorokhod's spacealmost critical Galton-Watson branching process with immigration


Mathematics Subject Classification ID

Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80) Functional limit theorems; invariance principles (60F17)


Related Items (3)

A note on asymptotic behavior of critical Galton-Watson processes with immigration ⋮ Convergence of a sequence of nearly critical branching processes with immigration ⋮ On the asymptotic behavior of a subcritical branching process with immigration




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