Tail risk measures with application for mixtures of elliptical distributions

Autor: Pingyun Li, Chuancun Yin
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 5, Pp 8802-8821 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022491?viewType=HTML
Popis: In this paper we derive explicit formulas of tail conditional expectation (TCE) and tail variance (TV) for the class of location-scale mixtures of elliptical distributions, which includes the generalized hyper-elliptical (GHE) distribution. We also develop portfolio risk decomposition with TCE for multivariate location-scale mixtures of elliptical distributions. To illustrate our findings, we focus on the generalized hyperbolic (GH) family which is a popular subclass of the GHE for stocks modelling.
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