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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 2, Pages 266–291
DOI: https://doi.org/10.4213/tvp107 (Mi tvp107) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Probability inequalities for the Galton–Watson critical 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 (1751 kB) Citations (8)
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DOI: https://doi.org/10.4213/tvp107
Abstract: The upper bounds for the large deviation probabilities of a critical Galton–Watson process are derived under various conditions on the offspring distribution.
Keywords: Galton–Watson process, martingale, Doob inequality, Cramèr's condition, Chebyshev inequality.
Received: 23.07.2002
Revised: 15.01.2004
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 2, Pages 225–247
DOI: https://doi.org/10.1137/S0040585X97981640
Bibliographic databases:
Language: Russian
Citation: S. V. Nagaev, V. I. Vakhtel', “Probability inequalities for the Galton–Watson critical process”, Teor. Veroyatnost. i Primenen., 50:2 (2005), 266–291; Theory Probab. Appl., 50:2 (2006), 225–247
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp107
  • https://www.mathnet.ru/eng/tvp/v50/i2/p266
    • This publication is cited in the following 8 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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