V. I. Vakhtel', “Limit Theorems for Probabilities of Large Deviations of a Critical Galton–Watson Process Having Power Tails”, Teor. Veroyatnost. i Primenen., 2007, Volume 52, Issue 4,Pages <nobr>644

This article is cited in 4 papers

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

V. I. Vakhtel'

Technische Universität München

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

DOI: 10.4213/tvp1527