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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 3, Pages 457–479
DOI: https://doi.org/10.4213/tvp89 (Mi tvp89) 		 
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
Full-text PDF (1430 kB) Citations (6)
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DOI: https://doi.org/10.4213/tvp89
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
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 3, Pages 400–419
DOI: https://doi.org/10.1137/S0040585X97981822
Bibliographic databases:
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tvp/v50/i3/p457
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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