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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2005 Volume 50, Issue 2, Pages 266–291 (Mi tvp107)
This article is cited in 10 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

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

DOI: 10.4213/tvp107


 English version: Theory of Probability and its Applications, 2006, 50:2, 225–247

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