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Limit theorem for a supercritical Galton–Watson process
I. S. Badalbaev Mathematical Institute, Academy of Sciences of Uzbek SSR
Abstract:
Let μn, n=0,1,… be a Galton–Watson process, and τx+1 the instant of first crossing of the level x by the process. A limit theorem is proved for the joint distribution of the random variables
τx,x−μτx,μτx+1−x(x→∞)
on the assumption that Mμ1ln(1+μ1)<∞.
Received: 20.08.1973
Citation:
I. S. Badalbaev, “Limit theorem for a supercritical Galton–Watson process”, Mat. Zametki, 18:1 (1975), 123–128; Math. Notes, 18:1 (1975), 656–659
Linking options:
https://www.mathnet.ru/eng/mzm7633 https://www.mathnet.ru/eng/mzm/v18/i1/p123
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Abstract page: | 186 | Full-text PDF : | 69 | First page: | 1 |
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