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Tail Asymptotics of Random Sum and Maximum of Log-Normal Risks (1401.4614v1)
Published 18 Jan 2014 in math.PR
Abstract: In this paper we derive the asymptotic behaviour of the survival function of both random sum and random maximum of log-normal risks. As for the case of finite sum and maximum investigated in Asmussen and Rojas-Nandaypa (2008) also for the more general setup of random sums and random maximum the principle of a single big jump holds. We investigate both the log-normal sequences and some related dependence structures motivated by stationary Gaussian sequences.