Second Order Asymptotics of Aggregated Log-Elliptical Risk

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Etat: Public
Version: de l'auteur⸱e
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ID Serval
serval:BIB_0D95985274DC
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Institution
Titre
Second Order Asymptotics of Aggregated Log-Elliptical Risk
Périodique
Methodology and Computing in Applied Probability
Auteur⸱e⸱s
Kortschak  D., Hashorva  E.
ISSN
1387-5841 (Print)
1573-7713 (Electronic)
Statut éditorial
Publié
Date de publication
12/2014
Peer-reviewed
Oui
Volume
16
Numéro
4
Pages
969-985
Langue
anglais
Résumé
In this paper we establish the error rate of first order asymptotic approximation for the tail probability of sums of log-elliptical risks. Our approach is motivated by extreme value theory which allows us to impose only some weak asymptotic conditions satisfied in particular by log-normal risks. Given the wide range of applications of the log-normal model in finance and insurance our result is of interest for both rare-event simulations and numerical calculations. We present numerical examples which illustrate that the second order approximation derived in this paper significantly improves over the first order approximation.
Mots-clé
Risk aggregation, Second order asymptotics, Log-elliptical distribution, Log-normal distribution, Gumbel max-domain of attraction
Web of science
Création de la notice
16/05/2013 23:03
Dernière modification de la notice
20/08/2019 13:34
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