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Extended Gini-Type Measures of Risk and Variability

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  • Mohammed Berkhouch
  • Ghizlane Lakhnati
  • Marcelo Brutti Righi

Abstract

The aim of this paper is to introduce a risk measure, Extended Gini Shortfall (EGS), that extends the Gini-type measures of risk and variability by taking risk aversion into consideration. Our risk measure is coherent and catches variability, an important concept for risk management. The analysis is made under the Choquet integral representations framework. We expose results for analytic computation under well-known distribution functions. Furthermore, we provide a practical application.

Suggested Citation

  • Mohammed Berkhouch & Ghizlane Lakhnati & Marcelo Brutti Righi, 2018. "Extended Gini-Type Measures of Risk and Variability," Applied Mathematical Finance, Taylor & Francis Journals, vol. 25(3), pages 295-314, May.
    • Handle: RePEc:taf:apmtfi:v:25:y:2018:i:3:p:295-314
    DOI: 10.1080/1350486X.2018.1538806
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    Cited by:

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    2. Baishuai Zuo & Chuancun Yin, 2024. "Worst-cases of distortion riskmetrics and weighted entropy with partial information," Papers 2405.19075, arXiv.org.
    3. Hu, Taizhong & Chen, Ouxiang, 2020. "On a family of coherent measures of variability," Insurance: Mathematics and Economics, Elsevier, vol. 95(C), pages 173-182.
    4. Marlon Moresco & Marcelo Righi & Eduardo Horta, 2020. "Minkowski gauges and deviation measures," Papers 2007.01414, arXiv.org, revised Jul 2021.
    5. Fabrizio Maturo & Pierpaolo Angelini, 2023. "Aggregate Bound Choices about Random and Nonrandom Goods Studied via a Nonlinear Analysis," Mathematics, MDPI, vol. 11(11), pages 1-30, May.

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