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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1902.06941 |
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| _version_ | 1866911223897915392 |
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| author | Bäuerle, Nicole Shushi, Tomer |
| author_facet | Bäuerle, Nicole Shushi, Tomer |
| contents | We generalize Quasi-Linear Means by restricting to the tail of the risk distribution and show that this can be a useful quantity in risk management since it comprises in its general form the Value at Risk, the Tail Value at Risk and the Entropic Risk Measure in a unified way. We then investigate the fundamental properties of the proposed measure and show its unique features and implications in the risk measurement process. Furthermore, we derive formulas for truncated elliptical models of losses and provide formulas for selected members of such models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_06941 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Risk Management with Tail Quasi-Linear Means Bäuerle, Nicole Shushi, Tomer Risk Management 91B30 We generalize Quasi-Linear Means by restricting to the tail of the risk distribution and show that this can be a useful quantity in risk management since it comprises in its general form the Value at Risk, the Tail Value at Risk and the Entropic Risk Measure in a unified way. We then investigate the fundamental properties of the proposed measure and show its unique features and implications in the risk measurement process. Furthermore, we derive formulas for truncated elliptical models of losses and provide formulas for selected members of such models. |
| title | Risk Management with Tail Quasi-Linear Means |
| topic | Risk Management 91B30 |
| url | https://arxiv.org/abs/1902.06941 |