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Closed spaces induced by deviation measures

Author

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  • Marcelo Brutti Righi

    (Federal University of Rio Grande do Sul)

Abstract

We show that a generalized deviation measure can induce a seminorm, which is a norm in important cases. The generalized deviation measure is finite and continuous with respect to the introduced norm. From the norm, we extend to a closed space, which can be understood as a natural domain for generalized deviation measures.

Suggested Citation

  • Marcelo Brutti Righi, 2017. "Closed spaces induced by deviation measures," Economics Bulletin, AccessEcon, vol. 37(3), pages 1781-1784.
    • Handle: RePEc:ebl:ecbull:eb-17-00583
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    File URL: http://www.accessecon.com/Pubs/EB/2017/Volume37/EB-17-V37-I3-P161.pdf
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    References listed on IDEAS

    as
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    Citations

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    Cited by:

    1. Mitja Stadje, 2018. "Representation Results for Law Invariant Recursive Dynamic Deviation Measures and Risk Sharing," Papers 1811.09615, arXiv.org, revised Dec 2018.
    2. Marcelo Brutti Righi, 2018. "A theory for combinations of risk measures," Papers 1807.01977, arXiv.org, revised May 2023.
    3. Marlon Moresco & Marcelo Righi & Eduardo Horta, 2020. "Minkowski gauges and deviation measures," Papers 2007.01414, arXiv.org, revised Jul 2021.

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    JEL classification:

    • G1 - Financial Economics - - General Financial Markets

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