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arXiv · 2409.19902

Best- and worst-case Scenarios for GlueVaR distortion risk measure with Incomplete information

Mengshuo Zhao·Chuancun Yin
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Abstract

This paper derives the best- and worst-case GlueVaR distortion risk measure within a unified framework, based on partial information of the underlying distributions and shape information such as symmetry. In addition, we characterize the extremal distributions of GlueVaR with convex envelopes of the corresponding distortion functions. As examples, extremal cases of VaR, TVaR and RVaR are derived.

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Mengshuo Zhao, Chuancun Yin. 2024-09-30. Best- and worst-case Scenarios for GlueVaR distortion risk measure with Incomplete information. https://arxiv.org/abs/2409.19902

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