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This article is cited in 6 scientific papers (total in 6 papers)
On the local limit theorem for critical Galton–Watson process
S. V. Nagaeva, V. I. Vakhtel'b a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Technische Universität München
Abstract:
The proof of the local limit theorem for a critical Galton–Watson process is given under minimal moment restrictions, i.e., under the condition that there exists the second moment of the number of direct offspring of one particle.
Keywords:
Galton–Watson process, Bellman–Harris process, concentration function, local theorem, bilinear generating function.
Received: 25.04.2003 Revised: 30.01.2004
Citation:
S. V. Nagaev, V. I. Vakhtel', “On the local limit theorem for critical Galton–Watson process”, Teor. Veroyatnost. i Primenen., 50:3 (2005), 457–479; Theory Probab. Appl., 50:3 (2006), 400–419
Linking options:
https://www.mathnet.ru/eng/tvp89https://doi.org/10.4213/tvp89 https://www.mathnet.ru/eng/tvp/v50/i3/p457
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