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Tail asymptotics of random sum and maximum of log-normal risks

Enkelejd Hashorva and Dominik Kortschak

Statistics & Probability Letters, 2014, vol. 87, issue C, 167-174

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-Nandayapa (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.

Keywords: Risk aggregation; Log-normal risks; Exact asymptotics; Gaussian distribution; Product of random variables (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2014.01.018

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