Tail approximation for reinsurance portfolios of Gaussian-like risks

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Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Tail approximation for reinsurance portfolios of Gaussian-like risks
Journal
Scandinavian Actuarial Journal
Author(s)
Farkas  J., Hashorva  E.
ISSN
0346-1238 (Print)
1651-2030 (Electronic)
ISSN-L
0006-2952
Publication state
Published
Issued date
05/2015
Peer-reviewed
Oui
Volume
2015
Number
4
Pages
319-331
Language
english
Notes
Publication types: Journal Article Publication Status: ppublish
Abstract
We consider two different portfolios of proportional reinsurance of the same pool of risks. This contribution is concerned with Gaussian-like risks, which means that for large values the survival function of such risks is, up to a multiplier, the same as that of a standard Gaussian risk. We establish the tail asymptotic behavior of the total loss of each of the reinsurance portfolios and determine also the relation between randomly scaled Gaussian-like portfolios and unscaled ones. Further, we show that jointly two portfolios of Gaussian-like risks exhibit asymptotic independence and their weak tail dependence coefficient is nonnegative.
Keywords
asymptotic independence, weak tail dependence coefficient, Gaussian-like risks, proportional reinsurance
Pubmed
Web of science
Create date
07/07/2013 21:08
Last modification date
20/08/2019 14:57
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