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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/57833
The use of flexible quantile-based measures in risk assessment [WP]
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Abstract
A new family of distortion risk measures -GlueVaR- is proposed in Belles- Sampera et al. -2013- to procure a risk assessment lying between those provided by common quantile-based risk measures. GlueVaR risk measures may be expressed as a combination of these standard risk measures. We show here that this relationship may be used to obtain approximations of GlueVaR measures for general skewed distribution functions using the Cornish-Fisher expansion. A subfamily of GlueVaR measures satisfies the tail-subadditivity property. An example of risk measurement based on real insurance claim data is presented, where implications of tail-subadditivity in the aggregation of risks are illustrated.
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BELLES SAMPERA, Jaume, GUILLÉN, Montserrat and SANTOLINO, Miguel. The use of flexible quantile-based measures in risk assessment [WP]. IREA – Working Papers. 2013. Vol. IR13/23. ISSN 2014-1254. [consulted: 13 of June of 2026]. Available at: https://hdl.handle.net/2445/57833