Coherence and elicitability (Q2831006)

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scientific article; zbMATH DE number 6646428
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Coherence and elicitability
scientific article; zbMATH DE number 6646428

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    1 November 2016
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    coherent risk measure
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    decision theory
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    elicit ability
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    expected shortfall
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    expectiles
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    law-invariant risk measure
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    spectral risk measure
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    Coherence and elicitability (English)
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    The notion of elicitability is introduced, and its importance in point forecasting is described.NEWLINENEWLINEA brief introduction to law-invariant coherent risk measures is also given.NEWLINENEWLINEThe latter topic is a basic for the main results of the paper which show that law-invariant spectral risk measures are not elicitable, and that the expectiles are the only elicitable law-invariant coherent risk measures.
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