Expected Shortfall is jointly elicitable with Value at Risk -\n Implications for backtesting

Tobias Fissler, Johanna F. Ziegel, Tilmann Gneiting

arXiv (Cornell University) · 2015 · 100 citations · 0 references

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Abstract

In this note, we comment on the relevance of elicitability for backtesting\nrisk measure estimates. In particular, we propose the use of Diebold-Mariano\ntests, and show how they can be implemented for Expected Shortfall (ES), based\non the recent result of Fissler and Ziegel (2015) that ES is jointly elicitable\nwith Value at Risk.\n