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Author: Fleischmann, Klaus × Subject: Böttcher case ×

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    Large deviations for sums defined on a Galton-Watson processes
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Fleischmann, Klaus; Wachtel, Vitali
    In this paper we study the large deviation behavior of sums of i.i.d. random variables Xi defined on a supercritical Galton-Watson process Z. We assume the finiteness of the moments EX2 1 and EZ1 log Z1 . The underlying interplay of the partial sums of the Xi and the lower deviation probabilities of Z is clarified. Here we heavily use lower deviation probability results on Z we recently published in [FW06].