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Teoriya Veroyatnostei i ee Primeneniya, 2007, Volume 52, Issue 4, Pages 644–659
DOI: https://doi.org/10.4213/tvp1527 (Mi tvp1527) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails

V. I. Vakhtel'

Technische Universität München
Full-text PDF (1253 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp1527
Abstract: Limit theorems are established for probabilities of large deviations of a critical Galton–Watson process given that the power moments are finite and the tail distribution of the offspring number of a single particle is regularly varying.
Keywords: Galton–Watson process, Cramér condition, large deviations, regularly varying function.
Received: 20.04.2006
English version:
Theory of Probability and its Applications, 2008, Volume 52, Issue 4, Pages 674–688
DOI: https://doi.org/10.1137/S0040585X97983249
Bibliographic databases:
Language: Russian
Citation: V. I. Vakhtel', “Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails”, Teor. Veroyatnost. i Primenen., 52:4 (2007), 644–659; Theory Probab. Appl., 52:4 (2008), 674–688
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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